Logarithmically complete monotonicity of a function related to the Catalan-Qi function

Feng Qi; Bai -Ni Guo

doi:10.1515/ausm-2016-0006

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Logarithmically complete monotonicity of a function related to the Catalan-Qi function

Acta Universitatis Sapientiae, Mathematica

Volume 8 (2016): Issue 1 (August 2016)

By: Feng Qi and Bai -Ni Guo

Open Access

|Aug 2016

Abstract

In the paper, the authors find necessary and sufficient conditions such that a function related to the Catalan-Qi function, which is an alternative generalization of the Catalan numbers, is logarithmically complete monotonic.

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Articles in this issue

DOI: https://doi.org/10.1515/ausm-2016-0006 | Journal eISSN: 2066-7752

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Language: English

Page range: 93 - 102

Submitted on: Oct 22, 2015

Published online: Aug 2, 2016

Published in print: Aug 1, 2016

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

necessary and sufficient condition,

logarithmically complete monotonicity,

Catalan number,

Catalan-Qi function

MSC:

11B75,

11B83,

11Y35,

11Y55,

11Y60,

26A48,

33B15

Related subjects:

Mathematics,

General mathematics

© 2016 Feng Qi, Bai -Ni Guo, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 8 (2016): Issue 1 (August 2016)