Hypergeometric functions and hyperbolic metric

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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.
13 pages, 1 figure

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Complex Variables, 30F45; 33C05; 33C75; 33E05

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http://salesiana.dossiersoluciones.com/handle/123456789/160739

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.1501
 http://arxiv.org/abs/0805.1501

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arXiv