Mixed Type Multiple Orthogonal Polynomials for Two Nikishin Systems

被引：0
|
作者：
U. Fidalgo Prieto
A. López García
G. López Lagomasino
V. N. Sorokin
机构：
[1] Universidad Carlos III de Madrid,Dpto. de Matemáticas
[2] Vanderbilt University,Department of Mathematics
[3] Moscow State University,Dept. of Function Theory and Functional Analysis
来源：
Constructive Approximation | 2010年 / 32卷
关键词：
Nikishin system; Multiple orthogonal polynomials; Logarithmic asymptotics; Rate of convergence; Potential theory; Ratio asymptotics; 30E10; 42C05; 41A20;
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摘要：
We study the logarithmic and ratio asymptotics of linear forms constructed from a Nikishin system which satisfy orthogonality conditions with respect to a system of measures generated by a second Nikishin system. This construction combines type I and type II multiple orthogonal polynomials. The logarithmic asymptotics of the linear forms is expressed in terms of the extremal solution of an associated vector valued equilibrium problem for the logarithmic potential. The ratio asymptotics is described by means of a conformal representation of an appropriate Riemann surface of genus zero onto the extended complex plane.
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页码：255 / 306
页数：51
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