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The early history of the hypergeometric function

✍ Scribed by Jacques Dutka


Publisher
Springer-Verlag
Year
1984
Tongue
English
Weight
893 KB
Volume
31
Category
Article
ISSN
0003-9519

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The hypergeometric function of a real variable is computed for arbitrary real parameters. The transformation theory of the hypergeometric function is used to obtain rapidly convergent power series. The divergences that occur in the individual terms of the transformation for integer parameters are re

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This paper deals with the study of the hypergeometric function with matrix arguments F(A,B;C;z). Conditions for matrices A, B, C so that the series representation of the hypergeometric function be convergent for Jz I = 1 and satisfies a matrix differential equation are given. After the study of beta