Abstract
Let for , where are the -polygamma functions. In this paper, by the monotonicity rules for the ratio of two power series, it is proved that, for and , the function
is decreasing (increasing) on if and only if (). The conditions for which several relevant functions are monotonic or completely monotonic on are obtained. Moreover, several relations involving the -polygamma functions are established.
Citation
Zhen-Hang Yang. Jing-Feng Tian. "MONOTONICITY RESULTS FOR FUNCTIONS INVOLVING THE -POLYGAMMA FUNCTIONS." Rocky Mountain J. Math. 54 (4) 1213 - 1229, August 2024. https://doi.org/10.1216/rmj.2024.54.1213
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