Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

Differential Equations Associated with Two Variable Degenerate Hermite Polynomials

In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials. In order to give explicit identities for two variable degenerate Hermite polynomials, differential equations arising from the generati...

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Main Authors: Kyung-Won Hwang, Cheon Seoung Ryoo
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Mathematics
Subjects:
differential equations
symmetric identities
degenerate hermite polynomials
complex zeros
Online Access:https://www.mdpi.com/2227-7390/8/2/228
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spelling doaj-2292e8c6467c47acb93c26652f571d6c2020-11-25T03:37:03ZengMDPI AGMathematics2227-73902020-02-018222810.3390/math8020228math8020228Differential Equations Associated with Two Variable Degenerate Hermite PolynomialsKyung-Won Hwang0Cheon Seoung Ryoo1Department of Mathematics, Dong-A University, Busan 604-714, KoreaDepartment of Mathematics, Hannam University, Daejeon 34430, KoreaIn this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials. In order to give explicit identities for two variable degenerate Hermite polynomials, differential equations arising from the generating functions of degenerate Hermite polynomials are studied. Finally, we investigate the structure and symmetry of the zeros of the two variable degenerate Hermite equations.https://www.mdpi.com/2227-7390/8/2/228differential equationssymmetric identitiesdegenerate hermite polynomialscomplex zeros
collection DOAJ
language English
format Article
sources DOAJ
author Kyung-Won Hwang
Cheon Seoung Ryoo
spellingShingle Kyung-Won Hwang
Cheon Seoung Ryoo
Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
Mathematics
differential equations
symmetric identities
degenerate hermite polynomials
complex zeros
author_facet Kyung-Won Hwang
Cheon Seoung Ryoo
author_sort Kyung-Won Hwang
title Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
title_short Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
title_full Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
title_fullStr Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
title_full_unstemmed Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
title_sort differential equations associated with two variable degenerate hermite polynomials
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-02-01
description In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials. In order to give explicit identities for two variable degenerate Hermite polynomials, differential equations arising from the generating functions of degenerate Hermite polynomials are studied. Finally, we investigate the structure and symmetry of the zeros of the two variable degenerate Hermite equations.
topic differential equations
symmetric identities
degenerate hermite polynomials
complex zeros
url https://www.mdpi.com/2227-7390/8/2/228
work_keys_str_mv AT kyungwonhwang differentialequationsassociatedwithtwovariabledegeneratehermitepolynomials
AT cheonseoungryoo differentialequationsassociatedwithtwovariabledegeneratehermitepolynomials
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