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arXiv · 2003.05300

A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function

Feng Qi
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Abstract

In the paper, the author presents a double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially confirms one in a series of conjectures on completely monotonic degrees of remainders of asymptotic expansions for the logarithm of the gamma function and for polygamma functions.

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Feng Qi. 2020-03-10. A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. https://doi.org/10.1080/25765299.2021.1962060

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