<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Institute of Mathematics, Henan Polytechnic University, China; College of Mathematics, Inner Mongolia University for Nationalities, China; Department of Mathematics, College of Science, Tianjin Polytechnic University, China

School of Mathematics and Informatics, Henan Polytechnic University, China

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

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

Published Online: Aug 02, 2016

Page range: 93 - 102

Received: Oct 22, 2015

DOI: https://doi.org/10.1515/ausm-2016-0006

Keywords
necessary and sufficient condition, logarithmically complete monotonicity, Catalan number, Catalan-Qi function

© 2016 Feng Qi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Aug 02, 2016

Page range: 93 - 102

Received: Oct 22, 2015

DOI: https://doi.org/10.1515/ausm-2016-0006

Keywordsnecessary and sufficient condition, logarithmically complete monotonicity, Catalan number, Catalan-Qi function

© 2016 Feng Qi et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
necessary and sufficient condition, logarithmically complete monotonicity, Catalan number, Catalan-Qi function