Several identities and relations related to q -analogues of Pochhammer k -symbol with applications to Fuss–Catalan–Qi numbers

Afrika Matematika（2024）

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摘要

In the paper, the authors establish several identities and relations involving q -analogues of the Pochhammer k -symbol. Moreover, the authors generalize several identities and relations for q -analogues of the Catalan numbers and the Catalan–Qi numbers.

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关键词

Pochhammer k-symbol,Catalan number,Catalan–Qi-number,Fuss–Catalan–Qi number,q-dual sequences,q-binomial transform,Basic hypergeometric series,Gamma function,Formula,Identity

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