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Matematicheskie Zametki, 2022, Volume 112, Issue 1, paper published in the English version journal (Mi mzm12337)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Zeros of Generalized Hermite Polynomials and Ensemble of Gaussian Random Matrices

M. Boualia, M. S. Hamoudaa, Hind K. Al Jeaidb

a Department of Mathematics, Institute Preparatory of Engineering of Tunis, Montfleury, 1089 Tunisia
b Department of Applied Mathematics, College of Applied Sciences, Umm Al Qura University, Makkah, 24382 Saudi Arabia
Citations (1)
Abstract: The main purpose of the present paper is to investigate the global asymptotic eigenvalue density of the fixed-trace generalized Gaussian ensemble of random matrices. To answer such a question, we begin with a complete study of the zeros of generalized Hermite orthogonal polynomials which are closely related to the eigenvalues in question.
Keywords: orthogonal polynomials, probability measures, logarithmic potential.
Received: 05.02.2019
Revised: 11.10.2021
Published: 29.06.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 1, Pages 40–58
DOI: https://doi.org/10.1134/S0001434622070045
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Bouali, M. S. Hamouda, Hind K. Al Jeaid, “Zeros of Generalized Hermite Polynomials and Ensemble of Gaussian Random Matrices”, Math. Notes, 112:1 (2022), 40–58
Citation in format AMSBIB
\Bibitem{BouHamJea22}
\by M.~Bouali, M.~S.~Hamouda, Hind K. Al~Jeaid
\paper Zeros of Generalized Hermite Polynomials
and Ensemble of Gaussian Random Matrices
\jour Math. Notes
\yr 2022
\vol 112
\issue 1
\pages 40--58
\mathnet{http://mi.mathnet.ru/mzm12337}
\crossref{https://doi.org/10.1134/S0001434622070045}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4473229}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85137108335}
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  • https://www.mathnet.ru/eng/mzm12337
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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