IMPROVEMENTS OF BOUNDS FOR THE q–GAMMA AND THE q–POLYGAMMA FUNCTIONS
نویسندگان
چکیده
In this paper, the complete monotonicity property of functions involving the q -gamma function is proven and used to establish sharp inequalities for the q -gamma and the q -polygamma functions for all q > 0 . These bounds for the q -gamma and the q -polygamma functions refine those given by Salem [17]. Mathematics subject classification (2010): 33D05, 26D07, 26A48.
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