Fractional calculus and families of generalized Legendre-Laguerre-Appell polynomials

DOI10.7153/fdc-2022-12-09OpenAlexW4317192457MaRDI QIDQ6041436

Shahid Ahmad Wani, Ishfaq Mallah, Javid Ahmad Ganie

Publication date: 30 May 2023

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2022-12-09

zbMATH Keywords

Appell polynomialsLegendre polynomialsfractional operatorsoperational rulesdeterminant definitionLegendre-Appell polynomials

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Exponential and trigonometric functions (33B10)

Cites Work

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• Special polynomials and fractional calculus
• Laguerre-based Appell polynomials: properties and applications
• A determinantal approach to Appell polynomials
• Some characterizations of Appell and q-Appell polynomials
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
• Families of Legendre-Sheffer polynomials
• Differential and integral equations for Legendre-Laguerre-based hybrid polynomials
• Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials
• Addition theorems for the Appell polynomials and the associated classes of polynomial expansions
• Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials
• Some families of generating functions for a certain class of three-variable polynomials
• A Note on Legendre Polynomials

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