Extension of complete monotonicity results involving the digamma function

Nantomah, Kwara

doi:10.1515/mjpaa-2018-0016

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.

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Extension of complete monotonicity results involving the digamma function

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