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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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D. Zeilberger and D. M. Bressoud (1985) A proof of Andrews’ -Dyson conjecture, Discrete Math. 54 (2), pp. 201–224.

External Links:

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

Referenced by:

17.14.

Encodings:

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Zeilberger (Web Site) Doron Zeilberger’s Maple Packages and Programs Department of Mathematics, Rutgers University, New Jersey..

Notes:

Includes hypergeometric and -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, § Software Cross Index, L. Lapointe and L. Vinet (1996).

Encodings:

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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:

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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:

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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:

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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, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index, § Software Cross Index.

Encodings:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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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:

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