
doi: 10.3390/math4020035
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.
Generalized hypergeometric series, \({}_pF_q\), alternative proof, Catalan-Qi number, Catalan-Qi function, hypergeometric series, Catalan number, Classical hypergeometric functions, \({}_2F_1\), identity; Catalan number; Catalan-Qi number; Catalan-Qi function; alternative proof; hypergeometric series; generalization, Other combinatorial number theory, Special sequences and polynomials, QA1-939, Gamma, beta and polygamma functions, Mathematics, identity, generalization, Combinatorial identities, bijective combinatorics
Generalized hypergeometric series, \({}_pF_q\), alternative proof, Catalan-Qi number, Catalan-Qi function, hypergeometric series, Catalan number, Classical hypergeometric functions, \({}_2F_1\), identity; Catalan number; Catalan-Qi number; Catalan-Qi function; alternative proof; hypergeometric series; generalization, Other combinatorial number theory, Special sequences and polynomials, QA1-939, Gamma, beta and polygamma functions, Mathematics, identity, generalization, Combinatorial identities, bijective combinatorics
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