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On a Definite Integral of a Hypergeometric Function

Li-Chien Shen
Proceedings of the American Mathematical Society
Vol. 120, No. 4 (Apr., 1994), pp. 1131-1136
DOI: 10.2307/2160228
Stable URL: http://www.jstor.org/stable/2160228
Page Count: 6
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On a Definite Integral of a Hypergeometric Function
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Abstract

The connections between the elliptic functions and the hypergeometric series 2F 1(1/2, 1/2; 1; x) is well known and classical. In this note, we investigate its relation with 2F 1(1/4, 3/4; 1; x). We find that it is less ideal than the classical case and discuss the flaws.

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