Orthogonality associated with Bessel-type Sheffer sequences with Q-parameters

DOI10.1134/S0001434622030129OpenAlexW4224879811MaRDI QIDQ2133825

Tabinda Nahid, Mumtaz Riyasat, Subuhi Khan

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622030129

zbMATH Keywords

continuous \(q\)-Hermite polynomialsdeterminant definition\(q\)-Bessel polynomials\(q\)-Sheffer sequences

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Cites Work

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• The combinatorics of Al-Salam-Chihara \(q\)-Laguerre polynomials
• A curious \(q\)-analogue of Hermite polynomials
• Bessel polynomials
• A note on the Bessel polynomials
• The Riordan group
• Generalized \(q\)-Legendre polynomials
• The \(q\)-Laguerre polynomials and related moment problems
• Chebyshev polynomials of the second kind via raising operator preserving the orthogonality
• A determinant approach to \(q\)-Bessel polynomials and applications
• q-Appell polynomials
• \(q\)-Bernoulli numbers and polynomials
• A Course in Enumeration
• A Note on Legendre Polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• The \(q\)-Sheffer sequences of a new type and associated orthogonal polynomials

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