Hypergeometric functions and hyperbolic metric

Abstract

We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain.

13 pages, 1 figure

References in corpus (2)

• Generalized Convexity and Inequalities
• Generalized Elliptic Integrals and the Legendre M-function