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



On a definite integral of a hypergeometric function

Author: Li-Chien Shen
Journal: Proc. Amer. Math. Soc. 120 (1994), 1131-1136
MSC: Primary 33C75
MathSciNet review: 1186995
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Abstract: The connections between the elliptic functions and the hypergeometric series $ _2{F_1}(\tfrac{1} {2},\tfrac{1} {2};1;x)$ is well known and classical. In this note, we investigate its relation with $ _2{F_1}(\tfrac{1} {4},\tfrac{3} {4};1;x)$. We find that it is less ideal than the classical case and discuss the flaws.

References [Enhancements On Off] (What's this?)

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