Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions-Reference-Cited by-同舟云学术

Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions

Published:2023 Issue:12 Volume:8 Page:30591-30609
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hwang Gyung Won¹,Ryoo Cheon Seoung²,Kang Jung Yoog³

Affiliation:

1. Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea

2. Department of Mathematics, Hannam University, Daejeon 34430, Republic of Korea

3. Department of Mathematics Education, Silla University, Busan 46958, Republic of Korea

Abstract

<abstract><p>The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials. Based on the MPDH polynomials, we looked at the structures of the approximation roots for a particular polynomial and checked the values of the approximate roots. Further, we presented some conjectures for MPDH polynomials.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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