Monotonicity of a ratio involving trigamma and tetragamma functions

Feng Qi
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Feng Qi: https://qifeng618.wordpress.com

No 5rfb8, OSF Preprints from Center for Open Science

Abstract: In the paper, by convolution theorem of the Laplace transforms, Bernstein's theorem for completely monotonic functions, and logarithmic concavity of a function involving exponential functions, the author (1) finds necessary and sufficient conditions for a ratio involving trigamma and tetragamma functions to be monotonic on the right real semi-axis; (2) and presents alternative proofs of necessary and sufficient conditions for a function and its negativity involving trigamma and tetragamma functions to be completely monotonic on the positive semi-axis. These results generalizes known conclusions recently obtained by the author.

Date: 2020-10-29
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:5rfb8

DOI: 10.31219/osf.io/5rfb8

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