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.
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Bouali, M., Hamouda, M.S. & Al Jeaid, H.K. Zeros of Generalized Hermite Polynomials and Ensemble of Gaussian Random Matrices. Math Notes 112, 40–58 (2022). https://doi.org/10.1134/S0001434622070045
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DOI: https://doi.org/10.1134/S0001434622070045