Certain Properties and Applications of Δh Hybrid Special Polynomials Associated with Appell Sequences

The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research. By using the monomiality principle, new outcomes a...

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Bibliographic Details
Published in:Fractal and fractional 2023-03, Vol.7 (3), p.233
Main Authors: Alyusof, Rabab, Wani, Shahid Ahmmad
Format: Article
Language:English
Subjects:
Appell polynomials
Applied mathematics
Approximation
Differential equations
Engineering
explicit form
Hermite polynomials
monomiality principle
Ordinary differential equations
Partial differential equations
Physics
Polynomials
Principles
Sequences
Δh hybrid special polynomials
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Summary:The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research. By using the monomiality principle, new outcomes are produced, and their differential equation and series representation is obtained, which are important in several branches of mathematics and physics. Thus, in line with prior facts, our aim is to introduce the Δh hybrid special polynomials associated with Hermite polynomials denoted by ΔhHQm(u,v,w;h). Further, we obtain some well-known main properties and explicit forms satisfied by these polynomials.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7030233