Some completely monotonic functions involving the $q$-gamma function

TL;DR

This paper introduces new completely monotonic functions related to the $q$-gamma function, inspired by classical gamma function analogues, expanding understanding of their properties.

Contribution

It provides novel completely monotonic functions involving the $q$-gamma function, extending classical gamma function results to the $q$-analogue setting.

Findings

New completely monotonic functions involving the $q$-gamma function

Extensions of classical gamma function properties to $q$-analogues

Potential applications in $q$-series and special functions

Abstract

We present some completely monotonic functions involving the $q$-gamma function that are inspired by their analogues involving the gamma function.