Bibliography P

Tables of Digamma and Trigamma Functions,

in Tracts for Computers, no. 1,

Cited by: §5.1

Note: 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. Home Page.

Cited by: Tab.1

Asymptotics and Mellin-Barnes Integrals,

Cambridge University Press, Cambridge.

External Links: ISBN 0-521-79001-8, MathReview

Cited by: §2.10(iii), §2.11(iii), §2.11(v), §2.5(ii), §2.5(ii), §5.11(ii), §5.11(iii), §5.13, §5.19(ii), §5.6(ii)

Stokes phenomenon demystified,

Bull. Inst. Math. Appl.31 (1-2), pp. 21–28.

External Links: ISSN 0905-5628, MathReview Entry

Cited by: §2.11(iv)

Smoothing of the Stokes phenomenon for high-order differential equations,

Proc. Roy. Soc. London Ser. A436, pp. 165–186.

External Links: ISSN 0962-8444, FullText, MathReview (F. W. J. Olver)

Cited by: §2.11(v)

Smoothing of the Stokes phenomenon using Mellin-Barnes integrals,

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

External Links: ISSN 0377-0427, Document, MathReview (Anatoly Kilbas)

Cited by: §2.11(v)

On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables,

Proc. Roy. Soc. London Ser. A457 (2016), pp. 2835–2853.

External Links: ISSN 1364-5021, Document, MathReview (Andrea Laforgia)

Cited by: §2.11(v)

On the use of Hadamard expansions in hyperasymptotic evaluation. II. Complex variables,

Proc. Roy. Soc. London Ser. A457, pp. 2855–2869.

External Links: ISSN 1364-5021, Document, MathReview (Andrea Laforgia)

Cited by: §2.11(v)

Inequalities for the zeros of the Airy functions,

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

External Links: ISSN 0036-1410, Document, MathReview

Cited by: §9.9(iv)

Primzahlverteilung,

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

Note: Reprinted in 1978.

External Links: MathReview (A. E. Ingham)

Cited by: §27.11

Note: Information on primes, primality testing, and factorization including links to programs and lists of primes. Home Page.

Cited by: §27.22

Algorithm 498: Airy functions using Chebyshev series approximations,

ACM Trans. Math. Software1 (4), pp. 372–379.

External Links: ISSN 0098-3500, Document, TOMS module 498 (in GAMS)

Cited by: §9.19(ii), §9.20(ii)

Integrals and Series: Special Functions, Vol. 2,

Gordon & Breach Science Publishers, New York.

Note: 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

Cited by: §5.13

Integrals and Series: More Special Functions, Vol. 3,

Gordon and Breach Science Publishers, New York.

Note: 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

Cited by: §9.10(ix), §9.11(v)

Integrals and Series: Direct Laplace Transforms, Vol. 4,

Gordon and Breach Science Publishers, New York.

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

External Links: ISBN 2-88124-837-3, MathReview (J. M. H. Peters)

Cited by: §5.13, §9.10(ix)

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)

Cited by: §5.13, §9.10(ix)