Two-Variable q-Hermite-Based Appell Polynomials and Their Applications-Reference-Cited by-同舟云学术

Two-Variable q-Hermite-Based Appell Polynomials and Their Applications

Published:2024-04-29 Issue:9 Volume:12 Page:1358
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Fadel Mohammed¹^ORCID,Alatawi Maryam Salem²^ORCID,Khan Waseem Ahmad³^ORCID

Affiliation:

1. Department of Mathematics, Lahej University, Lahej 73560, Yemen

2. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

3. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Abstract

A noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials. This extension helps analyze the quasi-monomiality of many q-special polynomials. This extension is a helpful tool for considering the quasi-monomiality of several q-special polynomials. This study aims to identify and establish the characteristics of the 2-variable q-Hermite–Appell polynomials via an extension of the concept of monomiality. Also, we present some applications that are taken into account.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/9/1358/pdf

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