Unveiling Multivariable Hermite-Based Genocchi Polynomials: Insights from Factorization Method
DOI:
https://doi.org/10.62298/advmath.6Keywords:
Appell Polynomials, Multivariable-Hermite Polynomials, Recurrence Relation, Shift Operators, Differential Equations, ApplicationsAbstract
This paper presents novel polynomials resulting from the convolution of generalized multivariable Hermite polynomials and Genocchi polynomials. Investigating their properties, such as recurrence relations, explicit formulas utilizing shift operators, and differential equations, forms the core of our exploration. Moreover, we derive integro-differential and partial differential equations for these polynomials, thereby enriching the comprehension and applicability of these hybrid polynomials across diverse mathematical domains.
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Copyright (c) 2024 Shahid Ahmad Wani
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