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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, Jodhpur University, India
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Extract

Recently in these proceedings (see (5), p. 175) by applying Goldstein's form of Parseval's relation ((4), p. 105) to the operational pairs ((3), p. 284)

where R[(b ± c)2] > 0 and ((3), p. 293)

where R(½ − λ + μ) > 0, it was proved that if

then

provided R(½ − λ + μ + ν) > 0 and R[(b ± c)2] > R(a), 0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 765 - 767
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

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