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Journal Articles Comptes Rendus. Mathématique Year : 2022

Decreasing properties of two ratios defined by three and four polygamma functions

Abstract

In the paper, by virtue of convolution theorem for the Laplace transforms, with the aid of three monotonicity rules for the ratios of two functions, of two definite integrals, and of two Laplace transforms, in terms of the majorization, and in the light of other analytic techniques, the author presents decreasing properties of two ratios defined by three and four polygamma functions.
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Dates and versions

hal-02998414 , version 1 (10-11-2020)
hal-02998414 , version 2 (02-02-2022)

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Feng Qi. Decreasing properties of two ratios defined by three and four polygamma functions. Comptes Rendus. Mathématique, 2022, 360, pp.89--101. ⟨10.5802/crmath.296⟩. ⟨hal-02998414v2⟩
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