Preserved in Portico This version is not peer-reviewed
Complete monotonicity of a difference constituted by four derivatives of a function involving trigamma function
: Received: 10 November 2020 / Approved: 12 November 2020 / Online: 12 November 2020 (11:58:39 CET)
A peer-reviewed article of this Preprint also exists.
Journal reference: Mathematical Inequalities & Applications 2021, 24, 24-58
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.
complete monotonicity; necessary and sufficient condition; difference; derivative; trigamma function; convolution theorem for the Laplace transforms; Bernstein's theorem for completely monotonic functions
MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory
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