Relevance of Factorization Method to Differential and Integral Equations Associated with Hybrid Class of Polynomials

Abstract

This article has a motive to derive a new class of differential equations and associated integral equations for some hybrid families of Laguerre–Gould–Hopper-based Sheffer polynomials. We derive recurrence relations, differential equation, integro-differential equation, and integral equation for the Laguerre–Gould–Hopper-based Sheffer polynomials by using the factorization method.

Keywords

• Laguerre–Gould–Hopper-based Sheffer polynomials
• factorization method
• generating function
• differential equation
• integral equation