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.

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@article{CRMATH_2022__360_G1_89_0, author = {Qi, Feng}, 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}, number = {G1}, year = {2022}, doi = {10.5802/crmath.296}, language = {en}, url = {http://www.numdam.org/articles/10.5802/crmath.296/} }

TY - JOUR AU - Qi, Feng TI - Decreasing properties of two ratios defined by three and four polygamma functions JO - Comptes Rendus. Mathématique PY - 2022 SP - 89 EP - 101 VL - 360 IS - G1 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.296/ DO - 10.5802/crmath.296 LA - en ID - CRMATH_2022__360_G1_89_0 ER -

%0 Journal Article %A Qi, Feng %T Decreasing properties of two ratios defined by three and four polygamma functions %J Comptes Rendus. Mathématique %D 2022 %P 89-101 %V 360 %N G1 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.296/ %R 10.5802/crmath.296 %G en %F CRMATH_2022__360_G1_89_0

Qi, Feng. Decreasing properties of two ratios defined by three and four polygamma functions. Comptes Rendus. Mathématique, Volume 360 (2022) no. G1, pp. 89-101. doi : 10.5802/crmath.296. http://www.numdam.org/articles/10.5802/crmath.296/

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