Organizers: Khalid Aldawsari, Department of Mathematics, College of Sciences and Humanities, Prince Sattam bin Abdulaziz University
Email: k.aldawsari@psau.edu.sa
In this article, a novel family of multi-variate Hermite-Frobenius-Genocchi polynomials is constructed and its several characterizations are observed. The properties of these polynomials, such as recurrence relations and shift operators, are investigated. Differential equations, partial differential equations, and integrodifferential equations satisfied by these polynomials are derived using the factorization method. Additionally, the Volterra integral equation is derived for these multivariate Hermite-Frobenius-Genocchi polynomials, which enhances the understanding and application of the factorization method in physics and engineering.