{"title":"Polynomials with real zeros via special polynomials","authors":"M. Mihoubi, Said Taharbouchet","doi":"10.5802/CRMATH.147","DOIUrl":null,"url":null,"abstract":"In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials. To cite this article: M. Mihoubi and S. Taharbouchet, C. R. Acad. Sci. Paris, Ser. I 340 (2021). Résumé. Dans ce papier, nous utilisons des polynômes particuliers pour établir quelques résultats sur les polynômes à racines réelles. Les polynômes considérés sont des polynômes de Bell et des polynômes de Hermite. Pour citer cet article : M. Mihoubi and S. Taharbouchet, C. R. Acad. Sci. Paris, Ser. I 340 (2021). Manuscript received 3rd November 2019, accepted 6th November 2020.","PeriodicalId":10620,"journal":{"name":"Comptes Rendus Mathematique","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mathematique","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5802/CRMATH.147","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials. To cite this article: M. Mihoubi and S. Taharbouchet, C. R. Acad. Sci. Paris, Ser. I 340 (2021). Résumé. Dans ce papier, nous utilisons des polynômes particuliers pour établir quelques résultats sur les polynômes à racines réelles. Les polynômes considérés sont des polynômes de Bell et des polynômes de Hermite. Pour citer cet article : M. Mihoubi and S. Taharbouchet, C. R. Acad. Sci. Paris, Ser. I 340 (2021). Manuscript received 3rd November 2019, accepted 6th November 2020.
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The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, …
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