Bivariate degenerate Hermite polynomials in the framework of Lie algebra K5
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914013376413696 |
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| author | Khan, Subuhi Mia, Mahammad Lal |
| author_facet | Khan, Subuhi Mia, Mahammad Lal |
| contents | In this article, the matrix elements of a representation of the 5-dimensional Lie algebra K5 are obtained for the first time. The bivariate degenerate Hermite polynomials Hm(z1, z2|τ ) are considered within the context of this representation. Further, employing the Lie algebraic techniques, certain specific results concerning these polynomials are established.Some examples providing the implicit formulas for the polynomials related to the polynomials Hm(z1, z2|τ ) are considered. Integral equations for these polynomials are also explored. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_21341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bivariate degenerate Hermite polynomials in the framework of Lie algebra K5 Khan, Subuhi Mia, Mahammad Lal Classical Analysis and ODEs 33C45, 47A67, 22E60, 44A20 In this article, the matrix elements of a representation of the 5-dimensional Lie algebra K5 are obtained for the first time. The bivariate degenerate Hermite polynomials Hm(z1, z2|τ ) are considered within the context of this representation. Further, employing the Lie algebraic techniques, certain specific results concerning these polynomials are established.Some examples providing the implicit formulas for the polynomials related to the polynomials Hm(z1, z2|τ ) are considered. Integral equations for these polynomials are also explored. |
| title | Bivariate degenerate Hermite polynomials in the framework of Lie algebra K5 |
| topic | Classical Analysis and ODEs 33C45, 47A67, 22E60, 44A20 |
| url | https://arxiv.org/abs/2508.21341 |