On certain generalized \(q\)-Appell polynomial expansions

DOI10.1515/umcsmath-2015-0004zbMath1308.05021OpenAlexW874089671MaRDI QIDQ2017588

Thomas Ernst

Publication date: 23 March 2015

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/umcsmath-2015-0004

zbMATH Keywords

generating function\(q\)-Apostol-Bernoulli polynomials\(q\)-Apostol-Euler polynomials\(q\)-H-polynomialscomplementary argument theoremmultiple \(q\)-Appell polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (1)

Expansion formulas for Apostol type Q-Appell polynomials, and their special cases

Cites Work

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• Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• \(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials
• Addition theorems for the Appell polynomials and the associated classes of polynomial expansions
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
• On the Lerch zeta function
• A Comprehensive Treatment of q-Calculus
• On multiple Appell polynomials
• Some results on power sums and Apostol-type polynomials
• A note on the Apostol--Bernoulli and Apostol--Euler polynomials
• A Calculus of Sequences

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