On a definite integral of a hypergeometric function
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- by Li-Chien Shen PDF
- Proc. Amer. Math. Soc. 120 (1994), 1131-1136 Request permission
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
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1131-1136
- MSC: Primary 33C75
- DOI: https://doi.org/10.1090/S0002-9939-1994-1186995-7
- MathSciNet review: 1186995