TY - JOUR
T1 - Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function
AU - Qi, Feng
AU - Berg, Christian
PY - 2013/11
Y1 - 2013/11
N2 - 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 monotonicity, the authors discover some properties related to the first order modified Bessel function of the first kind I 1, including inequalities, monotonicity, unimodality, and convexity.
AB - 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 monotonicity, the authors discover some properties related to the first order modified Bessel function of the first kind I 1, including inequalities, monotonicity, unimodality, and convexity.
U2 - 10.1007/s00009-013-0272-2
DO - 10.1007/s00009-013-0272-2
M3 - Journal article
SN - 1660-5446
VL - 10
SP - 1685
EP - 1696
JO - Mediterranean Journal of Mathematics
JF - Mediterranean Journal of Mathematics
IS - 4
ER -