Generalized hypergeometric functions at unit argument-Reference-Cited by-同舟云学术

Generalized hypergeometric functions at unit argument

Published:1992 Issue:1 Volume:114 Page:145-153
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bühring Wolfgang

Abstract

The analytic continuation near z = 1 z = 1 of the hypergeometric function p + 1 F p ( z ) _{p + 1}{F_p}\left ( z \right ) is obtained for arbitrary p = 2 , 3 , … , p = 2,3, \ldots , , including the exceptional cases when the sum of the denominator parameters minus the sum of the numerator parameters is equal to an integer.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-01/S0002-9939-1992-1068116-2/S0002-9939-1992-1068116-2.pdf

Reference15 articles.

1. M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, Dover, New York, 1965.

2. Cambridge Tracts in Mathematics and Mathematical Physics, No. 32;Bailey, W. N.,1964

3. Chapter 11 of Ramanujan’s second notebook;Berndt, Bruce C.;Bull. London Math. Soc.,1983

4. \bysame, Ramanujan’s notebooks, Part II, Springer-Verlag, New York, 1989.

5. The behavior at unit argument of the hypergeometric function ₃𝐹₂;Bühring, Wolfgang;SIAM J. Math. Anal.,1987

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Deflection of light by a Reissner–Nordström black hole and Painlevé VI equation;Classical and Quantum Gravity;2024-06-05

2. Some Terminating K-Balanced Clausen Hypergeometric Summation Theorems;International Journal of Applied and Computational Mathematics;2023-08-15

3. On the Composition Structures of Certain Fractional Integral Operators;Symmetry;2022-09-05

4. RG flow between W3 minimal models by perturbation and domain wall approaches;Journal of High Energy Physics;2022-08-31

5. On Meijer's G function G^m,n_p,p for m + n = p;Integral Transforms and Special Functions;2022-06-27