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On certain relations between products of bilateral hypergeometric series

Published online by Cambridge University Press:  18 May 2009

Harishanker Shukla
Harishanker Shukla
Affiliation:
Department Of Mathematics, Lucknow University
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Darling [3] in 1932 and Bailey [2] in 1933 gave certain theorems on products of hypergeometric series. Again in 1948 Sears [4] used the relation which expresses the series in terms of M other series of the same type to derive transformations between products of both basic and ordinary hypergeometric series. In this paper I give certain general theorems on products of bilateral hypergeometric series together with some of their interesting special cases.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 3 , December 1957 , pp. 141 - 144
Copyright
Copyright © Glasgow Mathematical Journal Trust 1957

References

REFERENCES

1.Bailey, W. N., Generalized hypergeometric series (Cambridge, 1935).Google Scholar
2.Bailey, W. N., J. London Math. Soc., 8 (1933), 100–107.Google Scholar
3.Darling, H. B. C., Proc. London Math. Soc. (2), 34 (1932), 323–339.CrossRefGoogle Scholar
4.Sears, D. B., Proc. London Math Soc. (2), 53 (1951), 181–191.Google Scholar
5.Sears, D. B., Proc. London Math. Soc. (2), 53 (1951), 138–157.CrossRefGoogle Scholar
6.Slater, L. J., Quart. J. Math. (Oxford) (2), 3 (1952), 73–80.Google Scholar
7.Slater, L. J., Quart. J. Math. (Oxford) (2), 3 (1952), 206–216.Google Scholar