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Mathematics 2016, 4(2), 35; doi:10.3390/math4020035

Three Identities of the Catalan-Qi Numbers

1
and
2,3,4,*
1
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2
Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300387, China
3
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
4
Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
*
Author to whom correspondence should be addressed.
Academic Editor: Alexander Berkovich
Received: 12 April 2016 / Revised: 17 May 2016 / Accepted: 18 May 2016 / Published: 26 May 2016
View Full-Text   |   Download PDF [223 KB, uploaded 26 May 2016]

Abstract

In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternative proofs of two identities of the Catalan numbers. The three identities of the Catalan-Qi numbers generalize three identities of the Catalan numbers. View Full-Text
Keywords: identity; Catalan number; Catalan-Qi number; Catalan-Qi function; alternative proof; hypergeometric series; generalization identity; Catalan number; Catalan-Qi number; Catalan-Qi function; alternative proof; hypergeometric series; generalization
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Mahmoud, M.; Qi, F. Three Identities of the Catalan-Qi Numbers. Mathematics 2016, 4, 35.

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