Upper bounds for Erdélyi's multivariate Laguerre polynomials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909689916162048 |
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| author | Luo, Min-Jie Raina, Ravinder Krishna |
| author_facet | Luo, Min-Jie Raina, Ravinder Krishna |
| contents | We establish in this paper two inequalities for the multivariate Laguerre polynomials introduced and studied by Arthur Erdélyi [Sitzungsber. Akad. Wiss. Wien, Math.-Naturw. Kl., Abt. IIa 146 (1937), 431--467]. These inequalities generalize the well-known Szegö's inequality for the Laguerre polynomials $L_n^{(α)}(x)$. We also mention briefly few insightful remarks giving a comparative analysis concerning the upper bounds of the derived inequalities in the concluding section. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11024 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper bounds for Erdélyi's multivariate Laguerre polynomials Luo, Min-Jie Raina, Ravinder Krishna Classical Analysis and ODEs Complex Variables 33C45, 33E50 We establish in this paper two inequalities for the multivariate Laguerre polynomials introduced and studied by Arthur Erdélyi [Sitzungsber. Akad. Wiss. Wien, Math.-Naturw. Kl., Abt. IIa 146 (1937), 431--467]. These inequalities generalize the well-known Szegö's inequality for the Laguerre polynomials $L_n^{(α)}(x)$. We also mention briefly few insightful remarks giving a comparative analysis concerning the upper bounds of the derived inequalities in the concluding section. |
| title | Upper bounds for Erdélyi's multivariate Laguerre polynomials |
| topic | Classical Analysis and ODEs Complex Variables 33C45, 33E50 |
| url | https://arxiv.org/abs/2507.11024 |