Submitted:
10 November 2020
Posted:
12 November 2020
You are already at the latest version
Abstract
In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein's theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic.
Keywords:
complete monotonicity
; necessary and sufficient condition
; difference
; derivative
; trigamma function
; convolution theorem for the Laplace transforms
; Bernstein's theorem for completely monotonic functions
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