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Contiguous Hypergeometric Functions of the Type 3F2(1)

Published online by Cambridge University Press:  18 May 2009

W. N. Bailey
W. N. Bailey
Affiliation:
Bedford College, Regent's Park, London, N.W.1
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In a paper published recently in this Journal, Watson obtained a reduction formul for the integral

He showed that this reduction formula could be written in the form:

If

then

where

and 2σ = α + β + γ + δ, 2θ3 = α − β − γ + δ.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 2 , October 1954 , pp. 62 - 65
Copyright
Copyright © Glasgow Mathematical Journal Trust 1954

References

REFERENCES

(1)Bailey, W. N., Generalized Hypergeometric Series (Cambridge, 1935).Google Scholar
(2)Bailey, W. N., “Associated Hypergeometric Series”, Quart. J. of Math. (Oxford), 8 (1937), 115–18.Google Scholar
(3)Watson, G. N., “A Reduction Formula”, J. Glasgow Math. Ass., 2 (1954), 57–61.CrossRefGoogle Scholar