Strongly completely monotonic functions on time scales

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

References

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