Inequalities Involving $q$-Analogue of Multiple Psi Functions

Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work $q$-analogue of multiple psi functions of order $n$ have been considered. Subadditive, superadditive and convexity properties of higher order derivatives of these functions are derived. Some rel...

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Bibliographic Details
Main Author: Das, Sourav
Format: Article
Language:English
Published: Académie des sciences 2020-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.44/