Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T13:23:23.744Z Has data issue: false hasContentIssue false
  • English
  • Français

The integration of hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

L. J. Slater
L. J. Slater
Affiliation:
Newnham CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper I consider the problem of integrating a generalized hypergeometric function with respect to one of its parameters, together with some general theorems on hyper-geometric transforms which arise out of this problem, and some interesting examples on these theorems.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 2 , April 1955 , pp. 288 - 296
Copyright
Copyright © Cambridge Philosophical Society 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Appell, P. and KampÉ De Febiet, J.Fonctions hypergéométriques et hypersphérigues (Paris, 1926).Google Scholar
(2)Bailey, W. N.Generalized hypergeometric series (Camb. Tracts Math. no. 32, 1935).Google Scholar
(3)Erdelyi, A.Higher transcendental functions, vol. 1 (New York, 1953).Google Scholar
(4)Meijer, C. S.On the G-function. I-VIII. Proc. Acad. Sci. Amst. 49 (1946).Google Scholar
(5)Meixner, J.Die Greensche Funktion des wellenmechanischen Keplerproblems. Math. Z. 36 (1933), 677–707.CrossRefGoogle Scholar