Bibliography Z

♦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♦

F. A. Zafiropoulos, T. N. Grapsa, O. Ragos and M. N. Vrahatis (1996)
On the Computation of Zeros of Bessel and Bessel-related Functions,

Utrecht, pp. 409–416.

External Links:

MathReview, ZentralBlatt.

Referenced by:

¶ ‣ §10.74(vi).

Encodings:

BibTeX
D. Zagier (1989)
The Dilogarithm Function in Geometry and Number Theory,

in Number Theory and Related Topics (Bombay, 1988),

Tata Inst. Fund. Res. Stud. Math., Vol. 12, pp. 231–249.

External Links:

MathReview (J. Browkin), ZentralBlatt.

Referenced by:

§25.12(i).

Encodings:

BibTeX
D. Zagier (1998)
A modified Bernoulli number,

Nieuw Arch. Wisk. (4) 16 (1-2), pp. 63–72.

External Links:

ISSN 0028-9825, MathReview (L. Skula), ZentralBlatt.

Referenced by:

§24.16(iii).

Encodings:

BibTeX
R. Zanovello (1975)
Sul calcolo numerico della funzione di Struve $\mathop{\mathbf{H}_{{\nu}}\/}\nolimits(z)$ ,

Rend. Sem. Mat. Univ. e Politec. Torino 32, pp. 251–269 (Italian. English summary).

External Links:

MathReview (Walter Gautschi), ZentralBlatt.

Referenced by:

§11.13(i), §11.14(ii).

Encodings:

BibTeX
R. Zanovello (1977)
Integrali di funzioni di Anger, Weber ed Airy-Hardy,

Rend. Sem. Mat. Univ. Padova 58, pp. 275–285 (Italian).

External Links:

FullText, MathReview (M. E. Muldoon), ZentralBlatt.

Referenced by:

§11.10(x).

Encodings:

BibTeX
R. Zanovello (1978)
Su un integrale definito del prodotto di due funzioni di Struve,

Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 112 (1-2), pp. 63–81 (Italian).

External Links:

ISSN 0001-4419, MathReview, ZentralBlatt.

Referenced by:

§11.7(ii).

Encodings:

BibTeX
R. Zanovello (1995)
Numerical analysis of Struve functions with applications to other special functions,

Ann. Numer. Math. 2 (1-4), pp. 199–208.

External Links:

ISSN 1021-2655, MathReview (F. W. J. Olver), ZentralBlatt.

Referenced by:

§11.7(ii).

Encodings:

BibTeX
A. Zarzo, J. S. Dehesa and R. J. Yañez (1995)
Distribution of zeros of Gauss and Kummer hypergeometric functions. A semiclassical approach,

Ann. Numer. Math. 2 (1-4), pp. 457–472.

External Links:

ISSN 1021-2655, MathReview (B. D. Agrawal), ZentralBlatt.

Referenced by:

§13.9(i), §15.13.

Encodings:

BibTeX
D. Zeilberger and D. M. Bressoud (1985)
A proof of Andrews’ $q$ -Dyson conjecture,

Discrete Math. 54 (2), pp. 201–224.

External Links:

ISSN 0012-365X, Document, MathReview (Ira Gessel), ZentralBlatt.

Referenced by:

§17.14.

Encodings:

BibTeX
Zeilberger (Web Site)
Doron Zeilberger’s Maple Packages and Programs

Department of Mathematics, Rutgers University, New Jersey..

Notes:

Includes hypergeometric and $q$ -hypergeometric summation, solution of difference equations (for example, by Petkovšek’s algorithm), combinatorial algorithms, and (package LUC) evaluation of zonal polynomials.

External Links:

Home Page.

Referenced by:

§ ‣ § Software Cross Index, L. Lapointe and L. Vinet (1996).

Encodings:

BibTeX
J. M. Zhang, X. C. Li and C. K. Qu (1996)
Error bounds for asymptotic solutions of second-order linear difference equations,

J. Comput. Appl. Math. 71 (2), pp. 191–212.

External Links:

ISSN 0377-0427, Document, MathReview, ZentralBlatt.

Referenced by:

§2.9(i), §2.9(ii).

Encodings:

BibTeX
J. Zhang (1996)
A note on the $\tau$ -method approximations for the Bessel functions $Y_{0}(z)$ and $Y_{1}(z)$ ,

Comput. Math. Appl. 31 (9), pp. 63–70.

External Links:

ISSN 0898-1221, Document, MathReview, ZentralBlatt.

Referenced by:

¶ ‣ §10.76(ii).

Encodings:

BibTeX
J. Zhang and J. A. Belward (1997)
Chebyshev series approximations for the Bessel function $Y_{n}(z)$ of complex argument,

Appl. Math. Comput. 88 (2-3), pp. 275–286.

External Links:

ISSN 0096-3003, Document, MathReview (Sven Ehrich), ZentralBlatt.

Referenced by:

¶ ‣ §10.76(ii).

Encodings:

BibTeX
S. Zhang and J. Jin (1996)
Computation of Special Functions,

John Wiley & Sons Inc., New York.

Notes:

Includes diskette containing a large collection of mathematical function software written in Fortran. Implementation in double precision. Maximum accuracy 16S.

External Links:

ISBN 0-471-11963-6, MathReview (Walter Gautschi), ZentralBlatt.

Referenced by:

§10.75(ii), §10.75(xi), §10.75(xii), ¶ ‣ §10.75(iii), ¶ ‣ §10.75(iii), §10.75(iv), §10.75(v), §10.75(vii), §10.75(ix), §11.14(ii), §12.19, §13.30, §14.33, ¶ ‣ §19.37(ii), ¶ ‣ §19.37(iii), ¶ ‣ §19.37(iii), §22.21, §24.19(i), ¶ ‣ §28.1, §28.34(ii), §28.34(ii), §28.35(i), §28.35(iii), §30.17, §5.22(ii), §5.22(iii), §6.19(ii), §6.19(iii), §7.23(ii), §7.23(iii), §7.23(iv), §8.17(v), §8.26(ii), §8.26(iii), §8.26(iv), §9.18(ii), §9.18(iv), §9.18(v), § ‣ § Software Cross Index.

Encodings:

BibTeX

Q. Zheng (1997)
Generalized Watson Transforms and Applications to Group Representations,

Ph.D. Thesis, University of Vermont, Burlington,VT.

Referenced by:

§35.7(ii).

Encodings:

BibTeX
Ya. M. Zhileĭkin and A. B. Kukarkin (1995)
A fast Fourier-Bessel transform algorithm,

Zh. Vychisl. Mat. i Mat. Fiz. 35 (7), pp. 1128–1133 (Russian).

Notes:

English translation in Comput. Math. Math. Phys. 35(7), pp. 901–905

External Links:

ISSN 0044-4669, MathReview (Vítĕzslav Veselý), ZentralBlatt.

Referenced by:

¶ ‣ §10.74(vii).

Encodings:

BibTeX
D. G. Zill and B. C. Carlson (1970)
Symmetric elliptic integrals of the third kind,

Math. Comp. 24 (109), pp. 199–214.

External Links:

FullText, Document, MathReview (H. E. Fettis), ZentralBlatt.

Referenced by:

§19.21(i), §19.21(iii), §19.22(iii), §19.25(i), §19.26(i).

Encodings:

BibTeX
A. Ziv (1991)
Fast evaluation of elementary mathematical functions with correctly rounded last bit,

ACM Trans. Math. Software 17 (3), pp. 410–423.

External Links:

ISSN 0098-3500, Document, ZentralBlatt.

Referenced by:

¶ ‣ §4.45(i).

Encodings:

BibTeX
I. J. Zucker (1979)
The summation of series of hyperbolic functions,

SIAM J. Math. Anal. 10 (1), pp. 192–206.

External Links:

ISSN 0036-1410, Document, MathReview (Y. L. Luke), ZentralBlatt.

Referenced by:

§4.41.

Encodings:

BibTeX
H. S. Zuckerman (1939)
The computation of the smaller coefficients of $J(\tau)$ ,

Bull. Amer. Math. Soc. 45 (12), pp. 917–919.

External Links:

FullText, MathReview (H. Rademacher), ZentralBlatt.

Referenced by:

§23.17(ii).

Encodings:

BibTeX
W. Zudilin (2007)
Approximations to -, di- and tri-logarithms,

J. Comput. Appl. Math. 202 (2), pp. 450–459.

External Links:

ISSN 0377-0427, Document, FullText, MathReview (F. Beukers), ZentralBlatt.

Referenced by:

§25.18(i), §25.18(i).

Encodings:

BibTeX
M. I. Žurina and L. N. Karmazina (1963)
Tablitsy funktsii Lezhandra $P_{{-1/2+i\tau}}^{{1}}(x)$ ,

Vyčisl. Centr Akad. Nauk SSSR, Moscow.

Notes:

Translated title: Tables of the Legendre functions $P_{{-1/2+i\tau}}^{{1}}(x)$

External Links:

MathReview (John Todd), ZentralBlatt.

Referenced by:

§14.33.

Encodings:

BibTeX
M. I. Žurina and L. N. Karmazina (1964)
Tables of the Legendre functions $P_{{-\ifrac{1}{2}+i\tau}}(x)$ . Part I,

Translated by D. E. Brown. Mathematical Tables Series, Vol. 22, Pergamon Press, Oxford.

Notes:

Translation of Žurina and Karmazina, Tablitsy funktsii Lezhandra $P_{{-1/2+i\tau}}(x)$ . Tom I, Izdat. Akad. Nauk SSSR, Moscow, 1960.

External Links:

MathReview (John Todd), ZentralBlatt.

Referenced by:

§14.33.

Encodings:

BibTeX
M. I. Žurina and L. N. Karmazina (1965)
Tables of the Legendre functions $P_{{-1/2+i\tau}}(x)$ . Part II,

Translated by Prasenjit Basu. Mathematical Tables Series, Vol. 38. A Pergamon Press Book, The Macmillan Co., New York.

Notes:

Translation of Žurina and Karmazina, Tablitsy funktsii Lezhandra $P_{{-1/2+i\tau}}(x)$ . Tom II, Izdat. Akad. Nauk SSSR, Moscow, 1962.

External Links:

MathReview, ZentralBlatt.

Referenced by:

§14.33.

Encodings:

BibTeX
M. I. Žurina and L. N. Karmazina (1966)
Tables and formulae for the spherical functions $P^{{m}}_{{-1/2+i\tau}}\,(z)$ ,

Translated by E. L. Albasiny, Pergamon Press, Oxford.

Notes:

Translation of Žurina and Karmazina, Tablitsy i formuly dlya sfericheskikh funktsii $P^{{m}}_{{-1/2+i\tau}}(z)$ , Vyčisl. Centr Akad Nauk SSSR, Moscow. 1962

External Links:

MathReview, ZentralBlatt.

Referenced by:

§14.20(vii).

Encodings:

BibTeX
M. I. Žurina and L. N. Karmazina (1967)
Tablitsy modifitsirovannykh funktsii Besselya s mnimym indeksom $K_{{i\tau}}(x)$ ,

Vyčisl. Centr Akad. Nauk SSSR, Moscow.

Notes:

Translated title: Tables of the Modified Bessel Functions with Imaginary Index $K_{{i\tau}}(x)$

External Links:

MathReview (John Todd), ZentralBlatt.

Referenced by:

§10.75(viii).

Encodings:

BibTeX
M. I. Žurina and L. N. Osipova (1964)
Tablitsy vyrozhdennoi gipergeometricheskoi funktsii,

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

Notes:

Translated title: Tables of the confluent hypergeometric function.

External Links:

MathReview (A. H. Stroud), ZentralBlatt.

Referenced by:

§13.30.

Encodings:

BibTeX