Bibliography A

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

M. J. Ablowitz and P. A. Clarkson (1991)
Solitons, Nonlinear Evolution Equations and Inverse Scattering,

London Mathematical Society Lecture Note Series, Vol. 149, Cambridge University Press, Cambridge.

External Links: ISBN 0-521-38730-2, MathReview (Walter Oevel), ZentralBlatt

Cited by: §9.16
M. J. Ablowitz and H. Segur (1981)
Solitons and the Inverse Scattering Transform,

SIAM Studies in Applied Mathematics, Vol. 4, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

External Links: ISBN 0-89871-174-6, MathReview (Benno Fuchssteiner), ZentralBlatt

Cited by: §9.16
A. Abramov (1960)
Tables of $\ln\Gamma(z)$ for Complex Argument,

Vol. 1 and 2, Pergamon Press, New York.

External Links: ZentralBlatt

Cited by: §5.22(iii)
M. Abramowitz and I. A. Stegun (Eds.) (1964)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,

National Bureau of Standards Applied Mathematics Series, U.S. Government Printing Office, Washington, D.C..

Note: Corrections appeared in later printings up to the 10th Printing, December, 1972. Reproductions by other publishers, in whole or in part, have been available since 1965.

External Links: FullText, MathReview (D. H. Lehmer), ZentralBlatt

Cited by: §27.2(ii), §27.21, §5.11(i), §5.22(ii), §5.22(iii), §5.7(i), Ch.5, §9.18(ii), §9.18(iv), §9.18(v), §9.8(i), Ch.9, Frank W. J. Olver, About the Project, Preface
G. B. Airy (1838)
On the intensity of light in the neighbourhood of a caustic,

Trans. Camb. Phil. Soc.6, pp. 379–403.

Cited by: §9.16, §9.16
G. B. Airy (1849)
Supplement to a paper “On the intensity of light in the neighbourhood of a caustic”,

Trans. Camb. Phil. Soc.8, pp. 595–599.

Cited by: §9.16
J. R. Albright and E. P. Gavathas (1986)
Integrals involving Airy functions,

J. Phys. A19 (13), pp. 2663–2665.

External Links: ISSN 0305-4470, Document, MathReview, ZentralBlatt

Cited by: §9.11(iv)
J. R. Albright (1977)
Integrals of products of Airy functions,

J. Phys. A10 (4), pp. 485–490.

External Links: Document, MathReview (Y. L. Luke), ZentralBlatt

Cited by: §9.11(iv), §9.11(iv)
W. R. Alford, A. Granville and C. Pomerance (1994)
There are infinitely many Carmichael numbers,

Ann. of Math. (2)139 (3), pp. 703–722.

External Links: ISSN 0003-486X, FullText, MathReview (H. L. Montgomery), ZentralBlatt

Cited by: §27.12
H. Alzer (1997)
A harmonic mean inequality for the gamma function,

J. Comput. Appl. Math.87 (2), pp. 195–198.

Note: For corrigendum see same journal v. 90 (1998), no. 2, p. 265

External Links: ISSN 0377-0427, Document, MathReview, ZentralBlatt

Cited by: §5.6(i)
D. E. Amos, S. L. Daniel and M. K. Weston (1977)
Algorithm 511: CDC 6600 subroutines IBESS and JBESS for Bessel functions $I_{\nu}(x)$ and $J_{\nu}(x)$ , $x\geq 0$ , $\nu\geq 0$ ,

ACM Trans. Math. Software3 (1), pp. 93–95.

Note: Single-precision Fortran, maximum accuracy 16S.

External Links: ISSN 0098-3500, Document, Companion paper. Erratum. TOMS module 511 (in GAMS)

Cited by: §9.20(ii)

D. E. Amos (1983)
Algorithm 610. A portable FORTRAN subroutine for derivatives of the psi function,

ACM Trans. Math. Software9 (4), pp. 494–502.

Note: Single and double precision, maximum accuracy 18S.

External Links: ISSN 0098-3500, Document, TOMS module 610 (in GAMS), MathReview Entry, ZentralBlatt

Cited by: §5.24(iii)
D. E. Amos (1986)
Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order,

ACM Trans. Math. Software12 (3), pp. 265–273.

Note: Single and double precision, maximum accuracy 18S.

External Links: ISSN 0098-3500, Document, Remark #1. Remark #2. TOMS module 644 (in GAMS), MathReview Entry, ZentralBlatt

Cited by: §5.24(ii), §9.20(ii), §9.20(iii)
G. E. Andrews, R. Askey and R. Roy (1999)
Special Functions,

Encyclopedia of Mathematics and its Applications, Vol. 71, Cambridge University Press, Cambridge.

External Links: ISBN 0-521-62321-9, MathReview (Bruce C. Berndt), ZentralBlatt

Cited by: §5.13, §5.14, §5.16, §5.16, §5.18(i), §5.18(ii), §5.18(iii), §5.20, §5.4(ii), §5.5(iv)
G. E. Andrews (1976)
The Theory of Partitions,

Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley Publishing Co., Reading, MA-London-Amsterdam.

Note: Reprinted by Cambridge University Press, Cambridge, 1998.

External Links: MathReview (L. Carlitz), ZentralBlatt

Cited by: §27.14(vi)
A. Apelblat (1983)
Table of Definite and Infinite Integrals,

Physical Sciences Data, Vol. 13, Elsevier Scientific Publishing Co., Amsterdam.

Note: Table errata: Math. Comp. v. 65 (1996), no. 215, p. 1386.

External Links: ISBN 0-444-42151-3, MathReview (R. P. Boas), ZentralBlatt

Cited by: §5.13
T. M. Apostol and I. Niven (1994)
Number Theory,

in The New Encyclopaedia Britannica,

Vol. 25, pp. 14–37.

Cited by: §27.13(i), §27.15, §27.16
T. M. Apostol and H. S. Zuckerman (1951)
On magic squares constructed by the uniform step method,

Proc. Amer. Math. Soc.2 (4), pp. 557–565.

External Links: ISSN 0002-9939, Fulltext, MathReview (D. H. Lehmer), ZentralBlatt

Cited by: §27.17
T. M. Apostol (1976)
Introduction to Analytic Number Theory,

Springer-Verlag, New York.

Note: Undergraduate Texts in Mathematics

External Links: MathReview (E. Grosswald), ZentralBlatt

Cited by: §27.10, §27.11, §27.13(i), §27.13(iii), §27.13(iv), §27.14(i), §27.14(ii), §27.14(v), §27.2(i), §27.3, §27.4, §27.5, §27.5, §27.6, §27.8, §27.9
T. M. Apostol (1990)
Modular Functions and Dirichlet Series in Number Theory,

2nd edition, Graduate Texts in Mathematics, Vol. 41, Springer-Verlag, New York.

External Links: ISBN 0-387-97127-0, MathReview, ZentralBlatt

Cited by: §27.14(iii), §27.14(iv), §27.14(vi), §27.7
H. Appel (1968)
Numerical Tables for Angular Correlation Computations in $\alpha$ -, $\beta$ - and $\gamma$ -Spectroscopy: $3j$ -, $6j$ -, $9j$ -Symbols, F- and $\Gamma$ -Coefficients,

in Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology,

New Series, Vol. 3, pp. 1–1202.

Cited by: §34.14