Convexity properties and inequalities concerning the (p; k)-gamma function

2017 Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics  
In this paper, some convexity properties and some inequalities for the (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 and some associated inequalities are derived. The established results provide the (p; k)-generalizations of some known results concerning the classical Gamma function.
doi:10.1501/commua1_0000000807 fatcat:2d7bbd4e5nhblkd46bndyor2nq