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Addendum to ‘A hypergeometric transformation associated with the Appell function F4’

Published online by Cambridge University Press:  24 October 2008

H. M. Srivastava
H. M. Srivastava
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, West Virginia, U.S.A.
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Extract

The hypergeometric transformation formulae (6) and the one that follows on p. 766 in my paper (1) should be read as

and

respectively, where 2F1[a,b; c; z] denotes Gauss's hypergeometric function, and ((2), p. 211)

with, as usual,

the conditions of convergence for the double series being

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 3 , November 1969 , pp. 569 - 570
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Srivastava, H. M.A hypergeometric transformation associated with the Appell function F 4. Proc. Cambridge Philos. Soc. 62 (1966), 765–767.Google Scholar
(2)Slater, L. J.Generalized hypergeometric functions (Cambridge, 1966).Google Scholar
(3)Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G.Higher transcendental functions, vol. I (McGraw-Hill; New York, 1953).Google Scholar
(4)Watson, G. N.A note on generalized hypergeometric series. Proc. London Math. Soc. (2), 23 (1925), xiii–xv.Google Scholar
(5)Srivastava, H. M. Analytic continuation of Appell's function F 4. Presented at the 36th Annual Session of the National Academy of Sciences of India (1967).Google Scholar
(6)Joshi, C. M. A note on a hypergeometric transformation associated with Appell's function F 4. Presented at the 37th Annual Session of the National Academy of Sciences of India (1968).Google Scholar