SOME CLASSES OF COMPLETELY MONOTONIC FUNCTIONS RELATED TO q-GAMMA AND q-DIGAMMA FUNCTIONS

摘要

In the paper, some classes of completely monotonic functions involving the q-gamma and q-digamma functions are derived. The monotonicity properties of these functions are exploited to establish a double inequality for the ratio of the q-gamma function and a double inequality for the q-digamma function. Moreover, a class of inequalities for the q-polygamma functions is presented.