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

Department of Mathematical Sciences

5 Citations (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.

Original language	English
Journal	Computational Methods and Function Theory
Volume	12
Pages (from-to)	329-341
ISSN	1617-9447
Publication status	Published - 2012

Keywords

Faculty of Science

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title = "A completely monotonic function used in an inequality of Alzer",

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.",

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AU - Berg, Christian

AU - Pedersen, Henrik Laurberg

PY - 2012

Y1 - 2012

N2 - 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.

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

Keywords

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