Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions
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 structu...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231564?viewType=HTML |
| _version_ | 1797450902884319232 |
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| author | Gyung Won Hwang Cheon Seoung Ryoo Jung Yoog Kang |
| author_facet | Gyung Won Hwang Cheon Seoung Ryoo Jung Yoog Kang |
| author_sort | Gyung Won Hwang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T14:47:12Z |
| format | Article |
| id | doaj.art-2fb013dbd38f49d3ad875abbfe2ea5dc |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-09T14:47:12Z |
| publishDate | 2023-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2fb013dbd38f49d3ad875abbfe2ea5dc2023-11-27T01:32:41ZengAIMS PressAIMS Mathematics2473-69882023-11-01812305913060910.3934/math.20231564Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributionsGyung Won Hwang0Cheon Seoung Ryoo1Jung Yoog Kang21. Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea2. Department of Mathematics, Hannam University, Daejeon 34430, Republic of Korea3. Department of Mathematics Education, Silla University, Busan 46958, Republic of KoreaThe 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.https://www.aimspress.com/article/doi/10.3934/math.20231564?viewType=HTMLdifferential equationssymmetric identitiespartially degenerate hermite polynomialscomplex zeros |
| spellingShingle | Gyung Won Hwang Cheon Seoung Ryoo Jung Yoog Kang Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions AIMS Mathematics differential equations symmetric identities partially degenerate hermite polynomials complex zeros |
| title | Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions |
| title_full | Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions |
| title_fullStr | Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions |
| title_full_unstemmed | Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions |
| title_short | Some properties for 2-variable modified partially degenerate Hermite (MPDH) polynomials derived from differential equations and their zeros distributions |
| title_sort | some properties for 2 variable modified partially degenerate hermite mpdh polynomials derived from differential equations and their zeros distributions |
| topic | differential equations symmetric identities partially degenerate hermite polynomials complex zeros |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231564?viewType=HTML |
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