\(q\)-deformed coherent states associated with the sequence \(x_n^{q,\alpha}=(1+\alpha q^{n-1})[n]_q\)
DOI10.1007/s40590-024-00649-wMaRDI QIDQ6602387
Khalid Ahbli, Othmane El Moize, Zouhair Mouayn
Publication date: 11 September 2024
Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)
Al-Salam-Chihara polynomialsEuler distributionArik-Coon spaceBargmann-type transform\(q\)-deformed coherent statesBarut-Girardello coherent statesshifted operators method
(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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