A. Martínez-Finkelshtein

activity

20032008

most citedSzego polynomials: a view from the Riemann-Hilbert window

4 citations · 5 across the 8 of their papers we have counts for

collaborators

Showing 2003Show all

2 papers · 1 filter

math.CA2003

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★ 1 cited

Strong asymptotics for Jacobi polynomials with varying nonstandard parameters

A. B. J. Kuijlaars, A. Martinez-Finkelshtein

Strong asymptotics on the whole complex plane of a sequence of monic Jacobi polynomials $P_{n}^{(α_{n}, β_{n})}$ is studied, assuming that $$ \lim_{n\to\infty} \frac{α_n}{n}=A, \qquad \l…