Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Generalized hypergeometric functions at unit argument

Author: Wolfgang Bühring
Journal: Proc. Amer. Math. Soc. 114 (1992), 145-153
MSC: Primary 33C20
MathSciNet review: 1068116
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Abstract: The analytic continuation near $ z = 1$ of the hypergeometric function $ _{p + 1}{F_p}\left( z \right)$ is obtained for arbitrary $ p = 2,3, \ldots ,$, including the exceptional cases when the sum of the denominator parameters minus the sum of the numerator parameters is equal to an integer.

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Keywords: Special functions, hypergeometric functions, hypergeometric series, continuation formulas, analytic continuation
Article copyright: © Copyright 1992 American Mathematical Society