Some Monotonicity Properties on k-Gamma Function and Related Inequalities

In this work, we give some monotonicity properties on k -digamma function. By the aid of these results, we find some inequalities on k -gamma function. As an immediate consequence, we lastly get some inequalities for factorial and all these results tend to the classical ones as k → 1 .

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Bibliographische Detailangaben
Veröffentlicht in:	International journal of applied and computational mathematics 2020-12, Vol.6 (6), Article 171
1. Verfasser:	Yıldırım, Emrah
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied mathematics Computational mathematics Computational Science and Engineering Gamma function Inequalities Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nuclear Energy Operations Research/Decision Theory Original Paper Theoretical
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Beschreibung
Zusammenfassung:	In this work, we give some monotonicity properties on k -digamma function. By the aid of these results, we find some inequalities on k -gamma function. As an immediate consequence, we lastly get some inequalities for factorial and all these results tend to the classical ones as k → 1 .
ISSN:	2349-5103 2199-5796
DOI:	10.1007/s40819-020-00926-y