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arXiv · 1510.03459

Some inequalities for the $q$-Extension of the Gamma Function

Kwara Nantomah·Edward Prempeh·Stephen Boakye Twum
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Abstract

In this paper, the authors establish some inequalities involving the $q$-extension of the classical Gamma function. These inequalities provide bounds for certain ratios of the $q$-extended Gamma function. The procedure makes use of geometric convexity and monotonicy properties of certain functions associated with the $q$-extended Gamma function.

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Kwara Nantomah, Edward Prempeh, Stephen Boakye Twum. 2015-10-06. Some inequalities for the $q$-Extension of the Gamma Function. https://arxiv.org/abs/1510.03459

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