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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 2 #74217

CONVEXITY PROPERTIES AND INEQUALITIES CONCERNING THE(p; k)-GAMMA FUNCTION

Kwara NANTOMAH

Sayfa
130–140
DOI
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Abstract

In this paper, some convexity properties and some inequalities forthe (p; k)-analogue of the Gamma function,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