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Inequalities for Gaussian hypergeometric functions

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In this paper, we first shall present some inequalities for Gaussian hypergeometric functions, which generalize an identity involving the inverse hyperbolic tangent function. Further, the monotonicity of general hypergeometric function… Click to show full abstract

In this paper, we first shall present some inequalities for Gaussian hypergeometric functions, which generalize an identity involving the inverse hyperbolic tangent function. Further, the monotonicity of general hypergeometric function is proved. The obtained results of this paper improve some known results. Mathematics subject classification (2010): 39B62, 33C05.

Keywords: hypergeometric functions; inequalities gaussian; gaussian hypergeometric

Journal Title: Journal of Mathematical Inequalities
Year Published: 2017

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