Affiliation:
1. Department of Mathematics, College of Science, King Saud University, Riyadh 11421, Saudi Arabia
2. Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International University, Pune 412115, India
Abstract
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.
Funder
King Saud University, Riyadh, Saudi Arabia
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
Reference20 articles.
1. Sur une classe de polynômes;Appell;Ann. Sci. École. Norm. Sup.,1880
2. Sur un nouveau dévelopment en séries de functions;Hermite;Compt. Rend. Acad. Sci. Paris,1864
3. Subuhi Khan Differential and integral equations for the 3-variable Hermite-Frobenius-Euler and Frobenius-Genocchi polynomials;Araci;App. Math. Inf. Sci.,2017
4. On some classes of diffrential equations and associated integral equations for the Laguerre-Appell polynomials;Riyasat;Adv. Pure Appl. Math.,2017
5. Differential and integral equations for the Laguerre-Gould-Hopper based Appell and related polynomials;Wani;Boletín Soc. Matemática Mex.,2019
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