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arxiv: 0805.1501 · v1 · submitted 2008-05-10 · 🧮 math.CV

Hypergeometric functions and hyperbolic metric

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keywords hyperboliccertainfunctionshypergeometricinequalitiesmetriccanonicaldeduce
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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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