DECREASING MONOTONICITY OF TWO RATIOS DEFINED BY THREE OR FOUR POLYGAMMA FUNCTIONS
Résumé
In the paper, by virtue of convolution theorem for the Laplace transforms, by three monotonicity rules for the ratios of two definite integrals, of two Laplace transforms, and of two functions, and by other analytic techniques, the author presents decreasing monotonicity of two ratios defined by three or four polygamma functions. These results confirm guesses posed by the author.
Mots clés
decreasing monotonicity
ratio
polygamma function
exponential function
majorization
inequality
convolution theorem for the Laplace transform
monotonicity rule for the ratio of two Laplace transforms
monotonicity rule for the ratio of two definite integrals
monotonicity rule for the ratio of two functions
Domaines
Analyse classique [math.CA]
Origine : Fichiers produits par l'(les) auteur(s)
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