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A note on the sums of certain bilateral hypergeometric series

Published online by Cambridge University Press:  24 October 2008

H. S. Shukla
H. S. Shukla
Affiliation:
Department of MathematicsUniversity of LucknowLucknow (India)
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Extract

Some years ago M. Jackson(5) obtained the sum of a particular 3H3 series which generalized the theorems of Whipple and Watson on sums of a 3F2 series, and later she(6) deduced the sum of a particular well-poised 6H6( – 1) series. In this note sums of certain particular bilateral hypergeometric series of the same type are given. They are believed to be new. In the sequel, the sum of a particular 8Ψ8 series has been obtained. The existence of a particular case of this sum was pointed out earlier by Slater and Lakin (11).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 3 , July 1959 , pp. 262 - 266
Copyright
Copyright © Cambridge Philosophical Society 1959

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References

REFERENCES

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