Some Families of Differential Equations for Multivariate Hybrid Special Polynomials Associated with Frobenius-Genocchi Polynomials
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5575Keywords:
Multi-variate Hermite-Frobenius-Genocchi polynomials; Recurrence relation; Shift operators; Differential equations; Volterra integral equationAbstract
This article introduces a new class of multi-variate Hermite-Frobenius-Genocchi polynomials and explores various characterizations of these polynomials. We examine their properties, including recurrence relations and shift operators. Using the factorization method, we derive differential, partial differential, and integrodifferential equations satisfied by these polynomials. Furthermore, we present the Volterra integral equation associated with these multi-variate Hermite-Frobenius-Genocchi polynomials, which improves our understanding and application of the factorization method in fields such as physics and engineering.
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Copyright (c) 2025 Shahid Ahmad Wani, Shivtej Patil, William Ramirez, Juan Hernandez
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