B. Beckermann

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20032025

most citedAsymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class

18 citations · 41 across the 15 of their papers we have counts for

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math.CA2003★ 18 cited

Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class

B. Beckermann, A. Martinez-Finkelshtein, E. A. Rakhmanov +1

We give an asymptotic upper bound as $n \to \infty$ for the entropy integral $E_{n} (w) = - \int p_{n}^{2} (x) lo g (p_{n}^{2} (x)) w (x) d x,$ where $p_{n}$ is the $n$ th degree orthonormal polynomial w…

math.CA2003

Multiple Wilson and Jacobi-Pineiro polynomials

B. Beckermann, J. Coussement, W. Van Assche

We introduce multiple Wilson polynomials, which give a new example of multiple orthogonal polynomials (Hermite-Pade polynomials) of type II. These polynomials can be written as a J…