Operational rules and generalized special polynomials

DOI10.1515/FORUM-2019-0050zbMath1435.33001OpenAlexW2978656048WikidataQ127065171 ScholiaQ127065171MaRDI QIDQ2309627

Mahvish Ali

Publication date: 1 April 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2019-0050

zbMATH Keywords

Hermite polynomialsSheffer polynomialsoperational rulesEuler's integral

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)

Related Items (1)

A new class of mixed Bessel functions via integral transforms

Cites Work

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• Finding mixed families of special polynomials associated with Appell sequences
• On a new family related to truncated exponential and Sheffer polynomials
• Special polynomials and fractional calculus
• Some properties of Hermite-based Sheffer polynomials
• The Appell interpolation problem
• A determinantal approach to Sheffer sequences
• A determinantal approach to Appell polynomials
• Generalized Riordan arrays
• Operational methods, fractional operators and special polynomials.
• Generalized polynomials, operational identities and their applications
• Extended forms of certain hybrid special polynomials related to Appell sequences
• Some properties of polynomial sets of type zero
• Umbral interpolation
• Operational methods: an extension from ordinary monomials to multi-dimensional Hermite polynomials
• On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case

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