Certain results for the 3-variable laguerre-hermite polynomials

Abstract

This paper addresses the mathematical inspection of differential and integral equations for hybrid forms of special polynomials using generating functions. The study aims to find out the differential equations of 3-variable Laguerre-Hermite polynomials. The inclusion of the derivation of the Volterra integral equation of 3-variable Laguerre-Hermite polynomials brings a novelty to the existing literature. Using Mathematica, the surface plots and curves of the aforementioned polynomials are explored and their zeros are investigated. © 2020 NSP Natural Sciences Publishing Cor.