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The evaluation of the basic confluent hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

L. J. Slater
Affiliation:
Newnham CollegeCambridge

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
Copyright
Copyright © Cambridge Philosophical Society 1954

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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), 117.CrossRefGoogle Scholar
(4)Slater, L. J.An integral of hypergeometric type. Proc. Camb. phil. Soc. 48 (1952), 578–82.CrossRefGoogle Scholar