Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
Abstract
The authors study monotoneity and convexity properties of the Gaussian hypergeometric function, particularly the special cases of complete elliptic integrals. They also prove functional inequalities for these functions and various combinations of them and present some conjectures about inequalities for these functions.
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Copyright © 1992 Society for Industrial and Applied Mathematics.
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Submitted: 20 June 1990
Accepted: 23 July 1991
Published online: 17 February 2012
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