On the complete monotonicity of quotient of gamma functions

Yi Chao Chen; Toufik Mansour; Qian Zou

doi:10.7153/mia-15-33

On the complete monotonicity of quotient of gamma functions

Yi Chao Chen, Toufik Mansour, Qian Zou

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we concern with a conjecture involving the ratio of two gamma functions posed by Qi, Guo and Chen [Math. Inequal. Appl. 9(3)(2006), 427-436]. We also generalize a result of Qi [Theorem 2, J. Comput. Appl. Math. 214 (2008), 610-616].

Original language	English
Pages (from-to)	395-402
Number of pages	8
Journal	Mathematical Inequalities and Applications
Volume	15
Issue number	2
DOIs	https://doi.org/10.7153/mia-15-33
State	Published - Apr 2012

Keywords

Completely monotonic function
Gamma function
Logarithmically completely monotonic function
Psi function

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-15-33

Cite this

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title = "On the complete monotonicity of quotient of gamma functions",

abstract = "In this paper, we concern with a conjecture involving the ratio of two gamma functions posed by Qi, Guo and Chen [Math. Inequal. Appl. 9(3)(2006), 427-436]. We also generalize a result of Qi [Theorem 2, J. Comput. Appl. Math. 214 (2008), 610-616].",

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AU - Chen, Yi Chao

AU - Mansour, Toufik

AU - Zou, Qian

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N2 - In this paper, we concern with a conjecture involving the ratio of two gamma functions posed by Qi, Guo and Chen [Math. Inequal. Appl. 9(3)(2006), 427-436]. We also generalize a result of Qi [Theorem 2, J. Comput. Appl. Math. 214 (2008), 610-616].

AB - In this paper, we concern with a conjecture involving the ratio of two gamma functions posed by Qi, Guo and Chen [Math. Inequal. Appl. 9(3)(2006), 427-436]. We also generalize a result of Qi [Theorem 2, J. Comput. Appl. Math. 214 (2008), 610-616].

KW - Completely monotonic function

KW - Gamma function

KW - Logarithmically completely monotonic function

KW - Psi function

UR - https://www.scopus.com/pages/publications/84866415844

U2 - 10.7153/mia-15-33

DO - 10.7153/mia-15-33

M3 - Article

AN - SCOPUS:84866415844

SN - 1331-4343

VL - 15

SP - 395

EP - 402

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 2

ER -

On the complete monotonicity of quotient of gamma functions

Abstract

Keywords

ASJC Scopus subject areas

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