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

Nusrat Raza1, Umme Zainab2 and Serkan Araci3,*
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 this Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2022, 130(2), 903-921.

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


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.


Hermite-laguerre polynomials; laguerre-wright polynomials; hermite-laguerre-wright polynomials hermite-mittag-leffler functions

Cite This Article

Raza, N., Zainab, U. (2022). Lacunary Generating Functions of Hybrid Type Polynomials in Viewpoint of Symbolic Approach. CMES-Computer Modeling in Engineering & Sciences, 130(2), 903–921.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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