On the (p,q)-Gamma and the (p,q)-Beta functions

2015/06/22 by P. Njionou Sadjang, Sadjang, P. Njionou
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math-ph #math.CA #math.MP #math.NT #msc:26A48 #msc:26A51 #msc:33B15

paper · pdf · doi:10.48550/arxiv.1506.07394

8 pages

arxiv created 2015/06/22 · arxiv updated 2015/06/25

Abstract

We introduce new generalizations of the Gamma and the Beta functions. Their properties are investigated and known results are obtained as particular cases.

Related

• Gamma function, Beta function and combinatorial identities
• Generalized Beta Function Defined by Wright Function
• Some completely monotonic functions involving the q-gamma function
• Two Parameter Gamma Function and its Properties
• A two-parameter deformation of the gamma function, associated functions, and some related inequalities