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Special values of the hypergeometric series

Published online by Cambridge University Press:  24 October 2008

G. S. Joyce  and
I. J. Zucker
G. S. Joyce
Affiliation:
Wheatstone Physics Laboratory, King's College, Strand, London WC2R 2LS
I. J. Zucker
Affiliation:
Wheatstone Physics Laboratory, King's College, Strand, London WC2R 2LS
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Extract

Recently, several authors [1, 3, 9] have investigated the algebraic and transcendental values of the hypergeometric series

for rational parameters a, b, c and algebraic arguments z. This work has led to some interesting new identities such as

and

where Γ(x) denotes the gamma function.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 109 , Issue 2 , March 1991 , pp. 257 - 261
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

REFERENCES

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