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Article

Three Identities of the Catalan-Qi Numbers

by 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
Mathematics 2016, 4(2), 35; https://doi.org/10.3390/math4020035
Received: 12 April 2016 / Revised: 17 May 2016 / Accepted: 18 May 2016 / Published: 26 May 2016
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
MDPI and ACS Style

Mahmoud, M.; Qi, F. Three Identities of the Catalan-Qi Numbers. Mathematics 2016, 4, 35. https://doi.org/10.3390/math4020035

AMA Style

Mahmoud M, Qi F. Three Identities of the Catalan-Qi Numbers. Mathematics. 2016; 4(2):35. https://doi.org/10.3390/math4020035

Chicago/Turabian Style

Mahmoud, Mansour, and Feng Qi. 2016. "Three Identities of the Catalan-Qi Numbers" Mathematics 4, no. 2: 35. https://doi.org/10.3390/math4020035

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