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Some new inequalities for Generalized Mathieu type series and Riemann zeta functions (1701.03971v1)

Published 14 Jan 2017 in math.CA

Abstract: Our aim in this paper is to show some new inequalities for Mathieu's type series and Riemann zeta function. In particular, some Tur\'an type inequalities, some monotonicity and log-convexity results for these special functions are given. New Laplace type integral representations for Mathie type series and Riemann zeta function are also presented.

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