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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: 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

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.

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APA Style
Raza, N., Araci, U.Z.A.S. (2022). Lacunary generating functions of hybrid type polynomials in viewpoint of symbolic approach. Computer Modeling in Engineering & Sciences, 130(2), 903-921. https://doi.org/10.32604/cmes.2022.017669
Vancouver Style
Raza N, Araci UZAS. Lacunary generating functions of hybrid type polynomials in viewpoint of symbolic approach. Comput Model Eng Sci. 2022;130(2):903-921 https://doi.org/10.32604/cmes.2022.017669
IEEE Style
N. Raza and U.Z.A.S. Araci, “Lacunary Generating Functions of Hybrid Type Polynomials in Viewpoint of Symbolic Approach,” Comput. Model. Eng. Sci., vol. 130, no. 2, pp. 903-921, 2022. https://doi.org/10.32604/cmes.2022.017669



cc Copyright © 2022 The Author(s). Published by Tech Science Press.
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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