Strong asymptotics of orthogonal polynomials with varying measures and Hermite–Pad e approximants
نویسنده
چکیده
The strong asymptotic behaviour of orthogonal polynomials with respect to a general class of varying measures is given for the case of the unit circle and the real line. These results are used to obtain certain asymptotic relations for the polynomials involved in the construction of Hermite–Pad e approximants of a Nikishin system of functions. c © 1998 Elsevier Science B.V. All rights reserved. AMS classi cation: 42C05; 30E10
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