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Certain product theorems for bilateral hypergeometric series

Published online by Cambridge University Press:  24 October 2008

R. Y. Denis
R. Y. Denis
Affiliation:
The University, Gorakhpur, India
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Extract

Introduction. Agarwalin 1953 ((1)) gave the most general transformations involving bilateral cognate trigonometrical series of the hypergeometric type. Later, Shukla in 1957 ((2)) gave certain relations involving the products of two bilateral hypergeometric series. In this paper an attempt has been made to establish certain new transformations involving the products of two and more bilateral hypergeometric type of series. (For notations and definitions see Agarwal ((1)).)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 473 - 475
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Agarwal, R. P.General transformations of bilateral cognate trigonometrical series of ordinary hypergeometric type. Canadian J. Math. 5 (1953), 544–553.CrossRefGoogle Scholar
(2)Shukla, H. S.On certain relations between products of bilateral hypergeometric series. Proc. Glasgow Math. Assoc. 3 (1957), 141–144.CrossRefGoogle Scholar