Certain Results for the 3-Variable Laguerre-Hermite Polynomials

Authors

Tabinda Nahid, Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, IndiaFollow
Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR- 27410, TurkeyFollow

Author Country (or Countries)

India

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

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140510

Recommended Citation

Nahid, Tabinda and Araci, Serkan (2020) "Certain Results for the 3-Variable Laguerre-Hermite Polynomials," Applied Mathematics & Information Sciences: Vol. 14: Iss. 5, Article 10.
DOI: http://dx.doi.org/10.18576/amis/140510
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss5/10