Several identities and relations related to \(q\)-analogues of Pochhammer \(k\)-symbol with applications to Fuss-Catalan-Qi numbers
DOI10.1007/s13370-023-01164-3MaRDI QIDQ6199550
Wathek Chammam, Mongia Khlifi, Bai-Ni Guo
Publication date: 21 March 2024
Published in: Afrika Matematika (Search for Journal in Brave)
gamma functionCatalan numberbasic hypergeometric seriesidentityformulaPochhammer \(k\)-symbol\(q\)-dual sequences\(q\)-binomial transformCatalan-Qi-numberFuss-Catalan-Qi number
Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Special sequences and polynomials (11B83) Matrices, determinants in number theory (11C20) Calculation of integer sequences (11Y55)
Cites Work
- Three identities of the Catalan-Qi numbers
- Multivariate Fuss-Catalan numbers
- Catalan numbers, \(q\)-Catalan numbers and hypergeometric series
- Super ballot numbers
- Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers
- Integral representations of the Catalan numbers and their applications
- On explicit probability densities associated with Fuss-Catalan numbers
- q-Catalan Identities
- q,k-Generalized Gamma and Beta Functions
- Congruences from $q$-Catalan Identities
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Several identities and relations related to \(q\)-analogues of Pochhammer \(k\)-symbol with applications to Fuss-Catalan-Qi numbers
