Extension of complete monotonicity results involving the digamma function

Abstract

By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function. As special cases of the established results, we deduce some new results concerning the p-digamma and the k-digamma functions. Our results are extensions of some previous results due to Qiu and Vuorinen, Mortici, and Merovci.

Keywords

• complete monotonicity
• (p,k)-digamma function
• inequality
• primary 33b15
• 26a48
• 26d07