A Riordan array approach to Apostol type-Sheffer sequences

DOI10.2298/FIL1918025RzbMath1499.11153WikidataQ126308991 ScholiaQ126308991MaRDI QIDQ5864402

Mumtaz Riyasat

Publication date: 7 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

differential equationsSheffer sequencesdeterminant formsquasi-monomialityApostol type-Sheffer sequences

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Special polynomials in general fields (12E10) Matrices, determinants in number theory (11C20)

Cites Work

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• Riordan arrays associated with Laurent series and generalized Sheffer-type groups
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• A determinantal approach to Sheffer sequences
• Generalized Riordan arrays
• A note on harmonic numbers, umbral calculus and generating functions
• Some characterizations of Appell and q-Appell polynomials
• The theory of the umbral calculus. I
• The Riordan group
• The umbral calculus
• Some series identities involving the generalized Apostol type and related polynomials
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials

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