Fractional calculus and generalized forms of special polynomials associated with Appell sequences

DOI10.1515/gmj-2019-2028zbMath1464.26006OpenAlexW2944637821MaRDI QIDQ2021441

Subuhi Khan, Shahid Ahmad Wani

Publication date: 27 April 2021

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

Full work available at URL: https://doi.org/10.1515/gmj-2019-2028

zbMATH Keywords

Hermite polynomialsAppell polynomialsoperational rulesdeterminant definition

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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• A note on truncated exponential-based Appell polynomials
• Special polynomials and fractional calculus
• Laguerre-based Appell polynomials: properties and applications
• A determinantal approach to Appell polynomials
• Generalized polynomials, operational identities and their applications
• Families of Legendre-Sheffer polynomials
• Hermite-based Appell polynomials: Properties and applications