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

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Standard

Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function. / Qi, Feng ; Berg, Christian.

I: Mediterranean Journal of Mathematics, Bind 10, Nr. 4, 2013, s. 1685–1696.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Qi, F & Berg, C 2013, 'Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function', Mediterranean Journal of Mathematics, bind 10, nr. 4, s. 1685–1696. https://doi.org/10.1007/s00009-013-0272-2

APA

Qi, F., & Berg, C. (2013). Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function. Mediterranean Journal of Mathematics, 10(4), 1685–1696. https://doi.org/10.1007/s00009-013-0272-2

Vancouver

Qi F, Berg C. Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function. Mediterranean Journal of Mathematics. 2013;10(4):1685–1696. https://doi.org/10.1007/s00009-013-0272-2

Author

Qi, Feng ; Berg, Christian. / Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function. I: Mediterranean Journal of Mathematics. 2013 ; Bind 10, Nr. 4. s. 1685–1696.

Bibtex

@article{eb0cd459c6e24062a57f3bbebd98733d,
title = "Complete Monotonicity of a Difference Between the Exponential and Trigamma Functions and Properties Related to a Modified Bessel Function",
abstract = "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.",
author = "Feng Qi and Christian Berg",
year = "2013",
doi = "10.1007/s00009-013-0272-2",
language = "English",
volume = "10",
pages = "1685–1696",
journal = "Mediterranean Journal of Mathematics",
issn = "1660-5446",
publisher = "Springer Basel AG",
number = "4",

}

RIS

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

Y1 - 2013

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 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.

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 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.

U2 - 10.1007/s00009-013-0272-2

DO - 10.1007/s00009-013-0272-2

M3 - Journal article

VL - 10

SP - 1685

EP - 1696

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

SN - 1660-5446

IS - 4

ER -

ID: 99245784