Conference abstracts

Session C7 - Special Functions and Orthogonal Polynomials - Semi-plenary talk

July 19, 14:30 ~ 15:20 - Room B5

Ahlfors problem for polynomials

Peter Yuditskii

Johannes Kepler University of Linz, Austria   -   peter.yuditskii@gmail.com

We raise a conjecture that asymptotics for Chebyshev polynomials in a complex domain can be given in terms of the reproducing kernels of a suitable Hilbert space of analytic functions in this domain. It is based on two classical results due to Garabedian and Widom. To support this conjecture we study asymptotics for Ahlfors extremal polynomials in the complement to a system of intervals on $\mathbb{R}$, arcs on $\mathbb{T}$, and its continuous counterpart.

Joint work with Benjamin Eichinger (Johannes Kepler University of Linz).

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