Notes on Carlitz's \(q\)-operators
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Publication:536461
DOI10.11650/twjm/1500406072zbMath1219.05008OpenAlexW4250190108MaRDI QIDQ536461
Publication date: 18 May 2011
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/twjm/1500406072
Hahn polynomialsRogers-Szegő polynomialsCarlitz's \(q\)-operators\(q\)-Christoffel-Darboux formulas\(q\)-Mehler's formulaexponential operator decomposition
(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
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