A completely monotonic function used in an inequality of Alzer

Christian Berg; Henrik Laurberg Pedersen

A completely monotonic function used in an inequality of Alzer

Christian Berg, Henrik Laurberg Pedersen

Institut for Matematiske Fag

5 Citationer (Scopus)

Abstract

The function has been considered by Alzer and by Qi and Guo. We prove that G' is completely monotonic by finding an integral representation of the holomorphic extension of G to the cut plane. A main dificulty is caused by the fact that G' is not a Stieltjes transform.

Originalsprog	Engelsk
Tidsskrift	Computational Methods and Function Theory
Vol/bind	12
Sider (fra-til)	329-341
ISSN	1617-9447
Status	Udgivet - 2012

Emneord

Det Natur- og Biovidenskabelige Fakultet
matematik, matematisk analyse

Citationsformater

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AU - Berg, Christian

AU - Pedersen, Henrik Laurberg

PY - 2012

Y1 - 2012

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AB - The function has been considered by Alzer and by Qi and Guo. We prove that G' is completely monotonic by finding an integral representation of the holomorphic extension of G to the cut plane. A main dificulty is caused by the fact that G' is not a Stieltjes transform.

KW - Faculty of Science

KW - matematik, matematisk analyse

M3 - Journal article

SN - 1617-9447

VL - 12

SP - 329

EP - 341

JO - Computational Methods and Function Theory

JF - Computational Methods and Function Theory

ER -

A completely monotonic function used in an inequality of Alzer

Abstract

Emneord

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