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Showing 2013 · math.COShow all
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math.CO2013
Monotonicity and log-behavior of some functions related to the Euler Gamma function
Bao-Xuan Zhu
The aim of this paper is to develop analytic techniques to deal with certain monotonicity of combinatorial sequences. (1) A criterion for the monotonicity of the function $\sqrt[x]…
math.CO2013★ 17 cited
Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences
Yi Wang, Bao-Xuan Zhu
We develop techniques to deal with monotonicity of sequences z_{n+1}/z_n and \sqrt[n]{z_n}. A series of conjectures of Zhi-Wei Sun and of Amdeberhan et al. are verified in certain…