Hypergeometric functions and hyperbolic metric
G. D. Anderson, T. Sugawa, M. K. Vamanamurthy, and M. Vuorinen
TL;DR
This paper derives new inequalities for hypergeometric functions and applies them to estimate the hyperbolic metric and distance in specific hyperbolic plane domains.
Contribution
It introduces novel inequalities for hypergeometric functions and uses them to improve estimates of hyperbolic metrics in canonical domains.
Findings
New inequalities for hypergeometric functions
Improved estimates for hyperbolic metric and distance
Applications to hyperbolic plane domains
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.
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Taxonomy
TopicsAnalytic and geometric function theory · Mathematical Inequalities and Applications · Mathematical functions and polynomials