Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

In the paper, the authors find necessary and sufficient conditions for a difference between the exponential function αeβ/t, α, β > 0, and the trigamma function ψ
(t) to be completely monotonic on (0,∞).
While proving the complete onotonicity, the authors discover some properties related to the first order modified Bessel function of the first kind I1, including inequalities, monotonicity, unimodality, and convexity.
OriginalsprogEngelsk
TidsskriftMediterranean Journal of Mathematics
Vol/bind10
Udgave nummer4
Sider (fra-til)1685–1696
ISSN1660-5446
DOI
StatusUdgivet - 2013

ID: 99245784