Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 2
CONVEXITY PROPERTIES AND INEQUALITIES CONCERNING THE(p; k)-GAMMA FUNCTION
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 130–140
- DOI
- —
Abstract
In this paper, some convexity properties and some inequalities forthe (p; k)-analogue of the Gamma function, p;k(x)are given. In particular,a (p; k)-analogue of the celebrated Bohr-Mollerup theorem is given. Furthermore,a (p; k)-analogue of the Riemann zeta function, p;k(x) is introduced andsome associated inequalities are derived. The established results provide the(p; k)-generalizations of some known results concerning the classical Gammafunction.