Strongly completely monotonic functions on time scales

Year 2025, Volume: 54 Issue: 6, 2225 - 2236, 30.12.2025

Jing-feng Tian , Xiao-yue Du , Zhong-xuan Mao , Jun-yi Li

https://doi.org/10.15672/hujms.1597774

Abstract

In this paper, we introduce the concept of strongly completely monotonic functions on time scales and investigate several properties of such functions. Meanwhile, we present some key results considering three special cases including continuous, discrete, and quantum. As applications, we prove that certain functions involving the confluent and Gaussian hypergeometric functions are strongly completely monotonic.

Keywords

time scales , strongly completely monotonic function , completely monotonic function , confluent hypergeometric function

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