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

Feng Qi

doi:10.5802/crmath.296

Combinatoire

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

Feng Qi ¹

¹ Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454003, Henan, China; School of Mathematical Sciences, Tiangong University, Tianjin 300387, China

Comptes Rendus. Mathématique, Volume 360 (2022), pp. 89-101.

Résumé

In the paper, by virtue of the 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.

Reçu le : 2021-08-09
Révisé le : 2021-10-28
Accepté le : 2021-10-28
Publié le : 2022-01-26

DOI : 10.5802/crmath.296

Classification : 33B15, 26A48, 26A51, 26D07, 26D15, 26D20, 44A10, 60E15

Affiliations des auteurs :

Feng Qi ¹

¹ Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454003, Henan, China; School of Mathematical Sciences, Tiangong University, Tianjin 300387, China

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Feng Qi},
     title = {Decreasing properties of two ratios defined by three and four polygamma functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {89--101},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {360},
     year = {2022},
     doi = {10.5802/crmath.296},
     language = {en},
}

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Feng Qi. Decreasing properties of two ratios defined by three and four polygamma functions. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 89-101. doi : 10.5802/crmath.296. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.296/

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