Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method

Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method

This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials. The paper explores several properties of these polynomials, including recurrence relations, explicit formulas using shift operators, and differen...

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Bibliographic Details
Main Authors: Mohra Zayed, Shahid Ahmad Wani, Ali M. Mahnashi
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Fractal and Fractional
Subjects:
Appell polynomials
multivariable Hermite polynomials
recurrence relation
shift operators
differential equations
applications
Online Access:https://www.mdpi.com/2504-3110/7/8/605

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