4 citations · 5 across the 6 of their papers we have counts for
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On Extensions of a Theorem of Baxter
J. S. Geronimo, A. Martinez-Finkelshtein
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is acc…
Szego polynomials: a view from the Riemann-Hilbert window
A. Martinez-Finkelshtein
This is an expanded version of the talk given at the conference ``Constructive Functions Tech-04''. We survey some recent results on canonical representation and asymptotic behavio…
Shannon entropy of symmetric Pollaczek polynomials
A. Martinez-Finkelshtein, J. F. Sanchez-Lara
We discuss the asymptotic behavior (as ) of the entropic integrals and $$ F_n = -\int_{-1}^1 \log…
Szegő orthogonal polynomials with respect to an analytic weight: canonical representation and strong asymptotics
A. Martinez-Finkelshtein, K. T. -R. McLaughlin, E. B. Saff
We provide a representation in terms of certain canonical functions for a sequence of polynomials orthogonal with respect to a weight that is strictly positive and analytic on the…
Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour
A. Martinez-Finkelshtein, R. Orive
Classical Jacobi polynomials , with , have a number of well-known properties, in particular the location of their zeros in the open interval . This…
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
A. B. J. Kuijlaars, A. Martinez-Finkelshtein
Strong asymptotics on the whole complex plane of a sequence of monic Jacobi polynomials is studied, assuming that $$ \lim_{n\to\infty} \frac{α_n}{n}=A, \qquad \l…