Bibliography P

♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦U♦V♦W♦X♦Y♦Z♦

K. A. Paciorek (1970)
Algorithm 385: Exponential integral $\mathop{\mathrm{Ei}\/}\nolimits(x)$ ,

Comm. ACM 13 (7), pp. 446–447.

Notes:

Includes Fortran code, maximum accuracy 20D. For certification and remarks see same journal v. 13 (1970), pp. 448–449 and p. 750; v. 15 (1972), p. 1074.

External Links:

ISSN 0001-0782, Document.

Referenced by:

§6.21(ii).

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V. I. Pagurova (1961)
Tables of the Exponential Integral ${E}_{{\nu}}(x)=\int _{{1}}^{{\infty}}e^{{-xu}}u^{{-\nu}}du$ ,

Pergamon Press, New York.

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MathReview (J. C. P. Miller), ZentralBlatt.

Referenced by:

§8.26(iv).

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V. I. Pagurova (1963)
Tablitsy nepolnoi gamma-funktsii,

Vyčisl. Centr Akad. Nauk SSSR, Moscow (Russian).

Notes:

In Russian. Translated title: Tables of the Incomplete Gamma Function.

External Links:

MathReview (John Todd).

Referenced by:

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V. I. Pagurova (1965)
An asymptotic formula for the incomplete gamma function,

Ž. Vyčisl. Mat. i Mat. Fiz. 5, pp. 118–121 (Russian).

Notes:

English translation in U.S.S.R. Computational Math. and Math. Phys. 5(1), pp. 162–166

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Document, MathReview (E. Lukacs), ZentralBlatt.

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P. Painlevé (1906)
Sur les équations différentielles du second ordre à points critiques fixès,

C.R. Acad. Sc. Paris 143, pp. 1111–1117.

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E. Pairman (1919)
Tables of Digamma and Trigamma Functions,

in Tracts for Computers, No. 1,

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B. V. Pal ${}^{{\prime}}$ tsev (1999)
On two-sided estimates, uniform with respect to the real argument and index, for modified Bessel functions,

Mat. Zametki 65 (5), pp. 681–692 (Russian).

Notes:

English translation in Math. Notes 65 (1999) pp. 571-581.

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ISSN 0025-567X, Document, MathReview (Boro Döring), ZentralBlatt.

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D. J. Panow (1955)
Formelsammlung zur numerischen Behandlung partieller Differentialgleichungen nach dem Differenzenverfahren,

Akademie-Verlag, Berlin (German).

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A. Papoulis (1977)
Signal Analysis,

McGraw-Hill, New York.

External Links:

ISBN 00-704-8460-0, 00-706-6468-4, ZentralBlatt.

Referenced by:

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PARI-GP (free interactive system and C library)

Notes:

Computer algebra system designed for computations in number theory. Many transcendental functions are also included. PARI is also available as a C library to allow for faster computations. Originally developed by Henri Cohen and co-workers at the Université Bordeaux I.

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Home Page.

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R. B. Paris and S. Cang (1997)
An asymptotic representation for $\mathop{\zeta\/}\nolimits(\frac{1}{2}+it)$ ,

Methods Appl. Anal. 4 (4), pp. 449–470.

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ISSN 1073-2772, MathReview (Matti Jutila), ZentralBlatt.

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R. B. Paris and D. Kaminski (2001)
Asymptotics and Mellin-Barnes Integrals,

Cambridge University Press, Cambridge.

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R. B. Paris and W. N.-C. Sy (1983)
Influence of equilibrium shear flow along the magnetic field on the resistive tearing instability,

Phys. Fluids 26 (10), pp. 2966–2975.

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ISSN 0031-9171, Document, MathReview, ZentralBlatt.

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R. B. Paris and A. D. Wood (1995)
Stokes phenomenon demystified,

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R. B. Paris (1984)
An inequality for the Bessel function $\mathop{J_{{\nu}}\/}\nolimits\!\left(\nu x\right)$ ,

SIAM J. Math. Anal. 15 (1), pp. 203–205.

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ISSN 0036-1410, Document, MathReview (L. Debnath).

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R. B. Paris (1991)
The asymptotic behaviour of Pearcey’s integral for complex variables,

Proc. Roy. Soc. London Ser. A 432, pp. 391–426.

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ISSN 0962-8444, FullText, MathReview (J. S. Joel), ZentralBlatt.

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R. B. Paris (1992a)
Smoothing of the Stokes phenomenon for high-order differential equations,

Proc. Roy. Soc. London Ser. A 436, pp. 165–186.

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ISSN 0962-8444, FullText, MathReview (F. W. J. Olver), ZentralBlatt.

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§2.11(v).

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R. B. Paris (1992b)
Smoothing of the Stokes phenomenon using Mellin-Barnes integrals,

J. Comput. Appl. Math. 41 (1-2), pp. 117–133.

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ISSN 0377-0427, Document, MathReview (Anatoly Kilbas), ZentralBlatt.

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R. B. Paris (2001a)
On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables,

Proc. Roy. Soc. London Ser. A 457 (2016), pp. 2835–2853.

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ISSN 1364-5021, Document, MathReview (Andrea Laforgia), ZentralBlatt.

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§10.40(iv), §2.11(v).

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R. B. Paris (2001b)
On the use of Hadamard expansions in hyperasymptotic evaluation. II. Complex variables,

Proc. Roy. Soc. London Ser. A 457, pp. 2855–2869.

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ISSN 1364-5021, Document, MathReview (Andrea Laforgia), ZentralBlatt.

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R. B. Paris (2002a)
Error bounds for the uniform asymptotic expansion of the incomplete gamma function,

J. Comput. Appl. Math. 147 (1), pp. 215–231.

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ISSN 0377-0427, Document, MathReview, ZentralBlatt.

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§8.12.

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R. B. Paris (2002b)
A uniform asymptotic expansion for the incomplete gamma function,

J. Comput. Appl. Math. 148 (2), pp. 323–339.

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ISSN 0377-0427, Document, MathReview (Dumitru Acu), ZentralBlatt.

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R. B. Paris (2002c)
Exponential asymptotics of the Mittag-Leffler function,

Proc. Roy. Soc. London Ser. A 458, pp. 3041–3052.

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ISSN 1364-5021, Document, MathReview (Roderick Wong), ZentralBlatt.

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§10.46.

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R. B. Paris (2003)
The asymptotic expansion of a generalised incomplete gamma function,

J. Comput. Appl. Math. 151 (2), pp. 297–306.

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ISSN 0377-0427, Document, MathReview (José Luis López), ZentralBlatt.

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§8.16.

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R. B. Paris (2004)
Exactification of the method of steepest descents: The Bessel functions of large order and argument,

Proc. Roy. Soc. London Ser. A 460, pp. 2737–2759.

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ISSN 1364-5021, Document, MathReview (F. Ursell), ZentralBlatt.

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R. B. Paris (2005a)
A Kummer-type transformation for a ${}_{2}F_{2}$ hypergeometric function,

J. Comput. Appl. Math. 173 (2), pp. 379–382.

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ISSN 0377-0427, Document, MathReview (P. Anandani), ZentralBlatt.

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¶ ‣ §16.6.

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R. B. Paris (2005b)
The Stokes phenomenon associated with the Hurwitz zeta function $\zeta(s,a)$ ,

Proc. Roy. Soc. London Ser. A 461, pp. 297–304.

External Links:

ISSN 1364-5021, Document, MathReview (Marc Prevost), ZentralBlatt.

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§25.11(xii), §25.11(xii).

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G. Parisi (1988)
Statistical Field Theory,

Addison-Wesley, Reading, MA.

External Links:

ISBN 0-201-05985-1, MathReview (Tony C. Dorlas), ZentralBlatt.

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§22.19(ii).

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A. M. Parkhurst and A. T. James (1974)
Zonal Polynomials of Order 1 Through 12,

in Selected Tables in Mathematical Statistics,

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J. B. Parkinson (1969)
Optical properties of layer antiferromagnets with $\mathrm{K}_{2}\mathrm{NiF}_{4}$ structure,

J. Phys. C: Solid State Physics 2 (11), pp. 2012–2021.

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§19.35(ii).

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R. Parnes (1972)
Complex zeros of the modified Bessel function $K_{{n}}(Z)$ ,

Math. Comp. 26 (120), pp. 949–953.

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ISSN 0025-5718, FullText, MathReview, ZentralBlatt.

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§10.75(vi).

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P. I. Pastro (1985)
Orthogonal polynomials and some $q$ -beta integrals of Ramanujan,

J. Math. Anal. Appl. 112 (2), pp. 517–540.

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ISSN 0022-247X, Document, MathReview (Mourad E. H. Ismail), ZentralBlatt.

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S. Paszkowski (1988)
Evaluation of Fermi-Dirac Integral,

in Nonlinear Numerical Methods and Rational Approximation (Wilrijk, 1987),

Mathematics and Its Applications, Vol. 43, pp. 435–444.

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§25.18(i).

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S. Paszkowski (1991)
Evaluation of the Fermi-Dirac integral of half-integer order,

Zastos. Mat. 21 (2), pp. 289–301.

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ISSN 0044-1899, MathReview (Alan M. Cohen), ZentralBlatt.

Referenced by:

§25.18(i).

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J. K. Patel and C. B. Read (1982)
Handbook of the Normal Distribution,

Statistics: Textbooks and Monographs, Vol. 40, Marcel Dekker Inc., New York.

Notes:

A revised and expanded 2nd edition was published in 1996.

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ISBN 0-8247-1541-1, MathReview (S. Kotz), ZentralBlatt.

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J. Patera and P. Winternitz (1973)
A new basis for the representation of the rotation group. Lamé and Heun polynomials,

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A. R. Paterson (1983)
A First Course in Fluid Dynamics,

Cambridge University Press, Cambridge.

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F. A. Paxton and J. E. Rollin (1959)
Tables of the Incomplete Elliptic Integrals of the First and Third Kind,

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¶ ‣ §19.37(iii).

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T. Pearcey (1946)
The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic,

Philos. Mag. (7) 37, pp. 311–317.

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§36.2(ii).

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K. Pearson (Ed.) (1965)
Tables of the Incomplete $\Gamma$ -function,

Biometrika Office, Cambridge University Press, Cambridge.

Referenced by:

§8.26(ii).

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K. Pearson (Ed.) (1968)
Tables of the Incomplete Beta-function,

2nd edition, Published for the Biometrika Trustees at the Cambridge University Press, Cambridge.

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T. G. Pedersen (2003)
Variational approach to excitons in carbon nanotubes,

Phys. Rev. B 67 (7), pp. (073401–1)–(073401–4).

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W. F. Perger, A. Bhalla and M. Nardin (1993)
A numerical evaluator for the generalized hypergeometric series,

Comput. Phys. Comm. 77 (2), pp. 249–254.

Notes:

Extended-precision Fortran, maximum accuracy 12D.

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§16.27(iii).

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M. D. Perlman and I. Olkin (1980)
Unbiasedness of invariant tests for MANOVA and other multivariate problems,

Ann. Statist. 8 (6), pp. 1326–1341.

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G. Petiau (1955)
La Théorie des Fonctions de Bessel Exposée en vue de ses Applications à la Physique Mathématique,

Centre National de la Recherche Scientifique, Paris (French).

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§10.63(ii).

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M. S. Petković and L. D. Petković (1998)
Complex Interval Arithmetic and its Applications,

Mathematical Research, Vol. 105, Wiley-VCH Verlag Berlin GmbH, Berlin.

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M. Petkovšek, H. S. Wilf and D. Zeilberger (1996)
$A=B$ ,

A K Peters Ltd., Wellesley, MA.

Notes:

With a separately available computer disk

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§16.23(iv).

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E. Petropoulou (2000)
Bounds for ratios of modified Bessel functions,

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§10.37.

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H. N. Phien (1988)
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H. N. Phien (1990)
A note on the computation of the incomplete beta function,

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P. C. B. Phillips (1986)
The exact distribution of the Wald statistic,

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ISSN 0012-9682, FullText, MathReview (Sadanori Konishi), ZentralBlatt.

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§35.9.

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B. Pichon (1989)
Numerical calculation of the generalized Fermi-Dirac integrals,

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§25.18(i).

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R. Piessens (1982)
Automatic computation of Bessel function integrals,

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Notes:

Double-precision Fortran, maximum accuracy 20S.

External Links:

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Referenced by:

§10.77(ix).

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R. Piessens (1984a)
Chebyshev series approximations for the zeros of the Bessel functions,

J. Comput. Phys. 53 (1), pp. 188–192.

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ISSN 0021-9991, Document, MathReview (Walter Gautschi), ZentralBlatt.

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¶ ‣ §10.76(ii).

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R. Piessens (1984b)
The computation of Bessel functions on a small computer,

Comput. Math. Appl. 10 (2), pp. 161–166.

Notes:

Fortran code.

External Links:

ISSN 0898-1221, Document, MathReview (G. P. Bhattacharjee), ZentralBlatt.

Referenced by:

§10.77(iii).

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R. Piessens (1990)
On the computation of zeros and turning points of Bessel functions,

Bull. Soc. Math. Grèce (N.S.) 31, pp. 117–122.

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MathReview (Alan M. Cohen), ZentralBlatt.

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¶ ‣ §10.76(ii).

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R. Piessens and S. Ahmed (1986)
Approximation for the turning points of Bessel functions,

J. Comput. Phys. 64 (1), pp. 253–257.

External Links:

ISSN 0021-9991, Document, MathReview (Evangelos Ifantis), ZentralBlatt.

Referenced by:

¶ ‣ §10.76(ii).

Encodings:

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R. Piessens and M. Branders (1972)
Chebyshev polynomial expansions of the Riemann zeta function,

Math. Comp. 26 (120), pp. G1–G5.

External Links:

ISSN 0025-5718, FullText, MathReview.

Referenced by:

§25.20, §25.20.

Encodings:

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R. Piessens and M. Branders (1983)
Modified Clenshaw-Curtis method for the computation of Bessel function integrals,

BIT 23 (3), pp. 370–381.

External Links:

ISSN 0006-3835, Document, MathReview (H. E. Fettis), ZentralBlatt.

Referenced by:

¶ ‣ §10.74(vii).

Encodings:

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R. Piessens and M. Branders (1984)
Algorithm 28. Algorithm for the computation of Bessel function integrals,

J. Comput. Appl. Math. 11 (1), pp. 119–137.

External Links:

ISSN 0377-0427, Document, ZentralBlatt.

Referenced by:

§10.77(ix).

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R. Piessens and M. Branders (1985)
A survey of numerical methods for the computation of Bessel function integrals,

Rend. Sem. Mat. Univ. Politec. Torino (Special Issue), pp. 249–265.

Notes:

International conference on special functions: theory and computation (Turin, 1984)

External Links:

ISSN 0373-1243, MathReview, ZentralBlatt.

Referenced by:

¶ ‣ §10.74(vii), ¶ ‣ §10.74(vii).

Encodings:

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A. Pinkus and S. Zafrany (1997)
Fourier Series and Integral Transforms,

Cambridge University Press, Cambridge.

External Links:

ISBN 0-521-59209-7; 0-521-59771-4, MathReview, ZentralBlatt.

Referenced by:

§1.14(vii).

Encodings:

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G. Pittaluga and L. Sacripante (1991)
Inequalities for the zeros of the Airy functions,

SIAM J. Math. Anal. 22 (1), pp. 260–267.

External Links:

ISSN 0036-1410, Document, MathReview, ZentralBlatt.

Referenced by:

§9.9(iv).

Encodings:

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S. Pokorski (1987)
Gauge Field Theories,

Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.

External Links:

ISBN 0-521-26537-1, MathReview (G. R. Allcock), ZentralBlatt.

Referenced by:

§22.19(ii).

Encodings:

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J. Polchinski (1998)
String Theory: An Introduction to the Bosonic String, Vol. I,

Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.

External Links:

ISBN 0-521-63303-6, MathReview (Angel Maria Uranga), ZentralBlatt.

Referenced by:

§23.21(iv).

Encodings:

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G. P. M. Poppe and C. M. J. Wijers (1990)
Algorithm 680: Evaluation of the complex error function,

ACM Trans. Math. Software 16 (1), pp. 47.

Notes:

Single-precision Fortran, maximum accuracy 14S.

External Links:

ISSN 0098-3500, Document, TOMS module 680 (in GAMS), MathReview, ZentralBlatt.

Referenced by:

§7.25(iii).

Encodings:

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A. Poquérusse and S. Alexiou (1999)
Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations,

J. Quantit. Spec. and Rad. Trans. 62 (4), pp. 389–395.

External Links:

Document.

Referenced by:

¶ ‣ §10.76(ii).

Encodings:

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S. Porubský (1998)
Voronoi type congruences for Bernoulli numbers,

in Voronoi’s Impact on Modern Science. Book I,

(H. Syta Ed.).

External Links:

ZentralBlatt.

Referenced by:

§24.10(iii).

Encodings:

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T. Poston and I. Stewart (1978)
Catastrophe Theory and its Applications,

Pitman, London.

Notes:

Reprinted by Dover in 1996.

External Links:

ISBN 0-273-01029-8, MathReview (George K. Francis), ZentralBlatt.

Referenced by:

¶ ‣ §36.4(i), Ch.36.

Encodings:

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J. L. Powell (1947)
Recurrence formulas for Coulomb wave functions,

Physical Rev. (2) 72 (7), pp. 626–627.

External Links:

Document, MathReview (S. C. van Veen), ZentralBlatt.

Referenced by:

§33.4.

Encodings:

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M. J. D. Powell (1967)
On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria,

Comput. J. 9 (4), pp. 404–407.

External Links:

Document, MathReview, ZentralBlatt.

Referenced by:

(3.11.14).

Encodings:

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K. Prachar (1957)
Primzahlverteilung,

Die Grundlehren der mathematischen Wissenschaften, Vol. 91, Springer-Verlag, Berlin-Göttingen-Heidelberg (German).

Notes:

Reprinted in 1978.

External Links:

MathReview (A. E. Ingham), ZentralBlatt.

Referenced by:

§27.11.

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S. Pratt (2007)
Comoving coordinate system for relativistic hydrodynamics,

Phy. Rev. C 75, pp. (024907–1)–(024907–10).

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§7.21.

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T. Prellberg and A. L. Owczarek (1995)
Stacking models of vesicles and compact clusters,

J. Statist. Phys. 80 (3–4), pp. 755–779.

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Document, ZentralBlatt.

Referenced by:

§8.24(ii).

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W. H. Press and S. A. Teukolsky (1990)
Elliptic integrals,

Computers in Physics 4 (1), pp. 92–96.

Referenced by:

§19.39(iv).

Encodings:

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Prime Pages (Web Site)

Notes:

Information on primes, primality testing, and factorization including links to programs and lists of primes.

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Home Page.

Referenced by:

§27.22.

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P. J. Prince (1975)
Algorithm 498: Airy functions using Chebyshev series approximations,

ACM Trans. Math. Software 1 (4), pp. 372–379.

External Links:

ISSN 0098-3500, Document, TOMS module 498 (in GAMS), ZentralBlatt.

Referenced by:

§9.19(ii), §9.20(ii).

Encodings:

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M. H. Protter and C. B. Morrey (1991)
A First Course in Real Analysis,

2nd edition, Undergraduate Texts in Mathematics, Springer-Verlag, New York.

External Links:

ISBN 0-387-97437-7, MathReview (Gerald J. Janusz).

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§1.5(iv), §1.8(i).

Encodings:

BibTeX
A. P. Prudnikov, Yu. A. Brychkov and O. I. Marichev (1986a)
Integrals and Series: Elementary Functions, Vol. 1,

Gordon & Breach Science Publishers, New York.

Notes:

Translated from the Russian and with a preface by N. M. Queen. Table errata: Math. Comp. v. 66 (1997), no. 220, pp. 1765–1766, Math. Comp. v. 65 (1996), no. 215, pp. 1380–1381 .

External Links:

ISBN 2-88124-097-6, MathReview, ZentralBlatt.

Referenced by:

§1.14(viii), ¶ ‣ §1.4(iv), §1.8(v), §24.7(iii), §4.10(iii), §4.11, §4.26(v), §4.27, §4.40(v), §4.41.

Encodings:

BibTeX
A. P. Prudnikov, Yu. A. Brychkov and O. I. Marichev (1986b)
Integrals and Series: Special Functions, Vol. 2,

Gordon & Breach Science Publishers, New York.

Notes:

A second edition was published in 1988. Table errata: Math. Comp. v. 65 (1996), no. 215, pp. 1382–1383

External Links:

ISBN 2-88124-097-6, MathReview, ZentralBlatt.

Referenced by:

§1.14(viii), ¶ ‣ §1.4(iv), §10.22(vi), §10.23(iv), §10.43(v), §10.43(vi), §10.44(iv), §10.60(iv), §10.71(iii), ¶ ‣ §12.12, §12.13(ii), §18.17(ix), §18.18(ix), §25.7, §25.8, ¶ ‣ §5.13, §6.14(iii), §6.15, §7.14(iii), §7.15, §8.14, §8.15.

Encodings:

BibTeX
A. P. Prudnikov, Yu. A. Brychkov and O. I. Marichev (1990)
Integrals and Series: More Special Functions, Vol. 3,

Gordon and Breach Science Publishers, New York.

Notes:

Translated from the Russian by G. G. Gould. Table erratum Math. Comp. v. 65 (1996), no. 215, p. 1384.

External Links:

ISBN 2-88124-682-6, MathReview, ZentralBlatt.

Referenced by:

§1.14(viii), ¶ ‣ §1.4(iv), §11.10(x), §11.10(x), §11.7(v), §11.7(v), §11.9(iv), §13.10(vi), §13.11, §13.23(v), §13.24(ii), §14.17(i), §14.17(iv), §14.18(iv), §14.20(x), §15.14, §15.15, §15.4(i), §16.10, §16.20, §16.20, §16.5, §19.13(i), §19.13(i), §19.13(ii), §20.10(iii), §23.14, §24.13(iii), §24.14(iii), §25.11(xi), §25.11(ix), ¶ ‣ §25.12(ii), §28.10(iii), §28.28(v), §9.10(ix), §9.11(v).

Encodings:

BibTeX
A. P. Prudnikov, Yu. A. Brychkov and O. I. Marichev (1992a)
Integrals and Series: Direct Laplace Transforms, Vol. 4,

Gordon and Breach Science Publishers, New York.

Notes:

Table erratum: Math. Comp. v. 66 (1997), no. 220, p. 1766.

External Links:

ISBN 2-88124-837-3, MathReview (J. M. H. Peters), ZentralBlatt.

Referenced by:

§1.14(viii), ¶ ‣ §1.4(iv), §10.22(vi), §10.43(vi), §10.71(iii), §11.10(x), §11.7(v), §11.9(iv), ¶ ‣ §12.12, ¶ ‣ §13.10(ii), §13.10(vi), §13.23(i), §14.17(v), §15.14, §16.20, §16.5, §18.17(ix), §19.13(iii), §20.10(iii), §24.13(iii), §25.11(ix), ¶ ‣ §25.12(ii), §25.7, ¶ ‣ §5.13, §6.14(iii), §7.14(iii), §8.14, §9.10(ix).

Encodings:

BibTeX
A. P. Prudnikov, Yu. A. Brychkov and O. I. Marichev (1992b)
Integrals and Series: Inverse Laplace Transforms, Vol. 5,

Gordon and Breach Science Publishers, New York.

External Links:

ISBN 2-88124-838-1, MathReview (J. M. H. Peters), ZentralBlatt.

Referenced by:

§1.14(viii), ¶ ‣ §1.4(iv), §10.22(vi), §10.43(vi), §10.71(iii), §11.10(x), §11.7(v), §11.9(iv), ¶ ‣ §12.12, ¶ ‣ §13.10(ii), §13.10(vi), §13.23(i), §13.23(iv), §14.17(v), §15.14, §15.14, §16.15, §16.20, §16.5, §18.17(ix), §19.13(iii), §24.13(iii), §25.11(ix), ¶ ‣ §25.12(ii), §25.7, ¶ ‣ §5.13, §6.14(iii), §7.14(iii), §8.6(iii), §9.10(ix).

Encodings:

BibTeX
J. D. Pryce (1993)
Numerical Solution of Sturm-Liouville Problems,

Monographs on Numerical Analysis, The Clarendon Press, Oxford University Press, New York.

External Links:

ISBN 0-19-853415-9, MathReview (L. Greenberg), ZentralBlatt.

Referenced by:

§3.7(iv).

Encodings:

BibTeX
M. Puoskari (1988)
A method for computing Bessel function integrals,

J. Comput. Phys. 75 (2), pp. 334–344.

External Links:

ISSN 0021-9991, Document, MathReview (J. G. Herriot), ZentralBlatt.

Referenced by:

¶ ‣ §10.74(vii), ¶ ‣ §10.74(vii).

Encodings:

BibTeX
T. Pálmai and B. Apagyi (2011)
Interlacing of positive real zeros of Bessel functions,

J. Math. Anal. Appl. 375 (1), pp. 320–322.

External Links:

ISSN 0022-247X, Document, FullText, MathReview (Javier Segura), ZentralBlatt.

Referenced by:

§10.21(i), §10.21(i).

Encodings:

BibTeX
G. Pólya and R. C. Read (1987)
Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds,

Springer-Verlag, New York.

Notes:

Pólya’s contribution translated from the German by Dorothee Aeppli

External Links:

ISBN 0-387-96413-4, MathReview (Daniel Turzík).

Referenced by:

§26.20.

Encodings:

BibTeX
G. Pólya, R. E. Tarjan and D. R. Woods (1983)
Notes on Introductory Combinatorics,

Progress in Computer Science, Vol. 4, Birkhäuser Boston Inc., Boston, MA.

External Links:

ISBN 0-8176-3123-2; 0-8176-3170-4, MathReview (Bernard M. E. Moret), ZentralBlatt.

Referenced by:

¶ ‣ §26.18.

Encodings:

BibTeX
G. Pólya (1937)
Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen,

Acta Mathematica 68, pp. 145–254.

External Links:

Document, ZentralBlatt.

Referenced by:

§26.20.

Encodings:

BibTeX