Some recurrence formulas for the q-Bernoulli and q-Euler polynomials

DOI10.2298/FIL2002663DzbMath1499.05069OpenAlexW3112444741MaRDI QIDQ5865644

Rahime Dere Paçin

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2002663d

zbMATH Keywords

\(q\)-calculus\(q\)-Appell polynomials\(q\)-umbral calculus

Mathematics Subject Classification ID

Umbral calculus (05A40) (q)-calculus and related topics (05A30) Special sequences and polynomials (11B83)

Cites Work

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• \(q\)-Bernoulli polynomials and \(q\)-umbral calculus
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• Hermite base Bernoulli type polynomials on the umbral algebra
• Some identities of \(q\)-Euler polynomials arising from \(q\)-umbral calculus
• A Comprehensive Treatment of q-Calculus
• Generating Functions for the $q$-Bernstein Bases
• Some Hermite base polynomials on q-umbral algebra
• Quantum calculus

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