Three Identities of the Catalan-Qi Numbers

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.

Keywords

• identity
• Catalan number
• Catalan-Qi number
• Catalan-Qi function
• alternative proof
• hypergeometric series
• generalization