Some properties of the k-Gamma function

We give completely monotonicity properties and inequalities for functions involving the Γ_k functions and their logarithmic derivatives ψ_k functions. We introduce a k-analogue of the Riemann Zeta function ζ_k as an integral and using Schwarz’s and Holder’s inequalities we obtain some inequalities r...

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Bibliographic Details
Main Authors: Chrysi G. Kokologiannaki, Valmir Krasniqi
Format: Article
Language:English
Published: Università degli Studi di Catania 2013-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1025