Hypergeometric Functions and Hyperbolic Metric
Copyright policy )Hypergeometric Functions and Hyperbolic Metric
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
- University of Turku Finland
- University of Auckland New Zealand
- Knowledge Systems Institute United States
- Tohoku University Japan
- Michigan State University United States
convexity, Mathematics - Complex Variables, 33C05, 33C75, Sugawa-Vuorinen conjecture, hyperbolic metric, Classical hypergeometric functions, \({}_2F_1\), 30F45, Elliptic functions and integrals, 33E05, Elliptic integrals as hypergeometric functions, Poincaré density, FOS: Mathematics, 30F45; 33C05; 33C75; 33E05, Complex Variables (math.CV), complete elliptic integrals, Conformal metrics (hyperbolic, Poincaré, distance functions), hypergeometric functions
convexity, Mathematics - Complex Variables, 33C05, 33C75, Sugawa-Vuorinen conjecture, hyperbolic metric, Classical hypergeometric functions, \({}_2F_1\), 30F45, Elliptic functions and integrals, 33E05, Elliptic integrals as hypergeometric functions, Poincaré density, FOS: Mathematics, 30F45; 33C05; 33C75; 33E05, Complex Variables (math.CV), complete elliptic integrals, Conformal metrics (hyperbolic, Poincaré, distance functions), hypergeometric functions
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