Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function-Reference-Cited by-同舟云学术

Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function

Published:1975 Issue:132 Volume:29 Page:1109-1114
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Temme N. M.

Abstract

New asymptotic expansions are derived for the incomplete gamma functions and the incomplete beta function. In each case the expansion contains the complementary error function and an asymptotic series. The expansions are uniformly valid with respect to certain domains of the parameters.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1975-29-132/S0025-5718-1975-0387674-2/S0025-5718-1975-0387674-2.pdf

Reference5 articles.

1. On the zeros of the incomplete gamma function;Kölbig, K. S.;Math. Comp.,1972

2. Computer Science and Applied Mathematics;Olver, F. W. J.,1974

3. Asymptotische Eigenschaften der unvollständigen Gammafunktion;Tricomi, F. G.;Math. Z.,1950

4. On uniform asymptotic expansion of definite integrals;Wong, R.;J. Approximation Theory,1973

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