Open Access

ARTICLE

Lacunary Generating Functions of Hybrid Type Polynomials in Viewpoint of Symbolic Approach

Nusrat Raza¹, Umme Zainab² and Serkan Araci^3,*

¹Mathematics Section, Women’ s College, Aligarh Muslim University, Aligarh, 202002, India
²Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India
³Department of Economics, Faculty of Economics, Administrative of Social Sciences, Hasan Kalyoncu University, Gaziantep, TR-27410, Turkey

* Corresponding Author:Serkan Araci. Email:

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 130(2), 903-921. https://doi.org/10.32604/cmes.2022.017669

Received 29 May 2021; Accepted 19 August 2021; Issue published 13 December 2021

Abstract

In this paper, we introduce mon-symbolic method to obtain the generating functions of the hybrid class of Hermite-associated Laguerre and its associated polynomials. We obtain the series definitions of these hybrid special polynomials. Also, we derive the double lacunary generating functions of the Hermite-Laguerre polynomials and the Hermite-Laguerre-Wright polynomials. Further, we find multiplicative and derivative operators for the Hermite-Laguerre-Wright polynomials which helps to find the symbolic differential equation of the Hermite-Laguerre-Wright polynomials. Some concluding remarks are also given.

---

Keywords

---