Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T14:00:52.360Z Has data issue: false hasContentIssue false
  • English
  • Français

The evaluation of the basic confluent 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

This paper contains all those formulae which are necessary for the numerical evaluation of the basic confluent hypergeometric functions, including asymptotic formulae, and three skeleton tables which can be used as a basis for the study of the numerical behaviour of these functions over a wide field.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 3 , July 1954 , pp. 404 - 413
Copyright
Copyright © Cambridge Philosophical Society 1954

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)Bailey, W. N.Generalized hypergeometric series (Cambridge Mathematical Tract, 1935).Google Scholar
(2)Hahn, W.Beitrage zur Theorie der Heineschen Reihen. Math. Nachr. 2 (1949), 340–79.CrossRefGoogle Scholar
(3)Jackson, F. H.The q ϑ-equations. Quart. J. Math. 11 (1940), 1–17.CrossRefGoogle Scholar
(4)Slater, L. J.An integral of hypergeometric type. Proc. Camb. phil. Soc. 48 (1952), 578–82.CrossRefGoogle Scholar