A hypergeometric transformation associated with the Appell function F4
Published online by Cambridge University Press: 24 October 2008
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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