UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 1:43

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Conference: Bucharest University Faculty of Physics 2007 Meeting


Section: Theoretical Physics and Applied Mathematics Seminar


Title:
Dominant Roots of Orthogonal Polynomials


Authors:
Doru Stefanescu


Affiliation:
University of Bucharest

Faculty of Physics


E-mail
stef@rms.unibuc.ro


Keywords:
Real Roots, Orthogonal Polynomials


Abstract:
We present a new method for the estimation of the dominant roots of classical univariate othogonal polynomials. The device is based on the positivity of the Hessian of convenient polynomials associated with an orthogonal polynomial.