ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS CORRESPONDING TO POLYNOMIAL SZEG ˝O MEASURE WITH AN INFINITE DISCRETE PART

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Published: Aug 15, 2021
DOI: https://doi.org/10.14403/jcms.2021.34.3.271
Keywords:
Orthogonal Polynomials, Asymptotics, Polynomial Szeg˝o measure, Szeg˝o condition, infinite masses points, Hardy space
Mathematics Subject Classification (2020):
Primary 12A34, 56B34, Secondary 78C34

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Fatima Zohra Benghia
Department of Mathematics, Laboratory of Pure and Applied Mathematics,
Youcef Belabbaci
Department of Mathematics, Laboratory of Pure and Applied Mathematics

Abstract





The asymptotics behavior orthogonal polynomials have been in the spotlight since the result of G. Szeg˝o in 1921. In this paper we study the pointwise asymptotics inside the unit disk for orthogonal polynomials with respect to a polynomial Szeg˝o measure with an infinite masses points.





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Article Details

Issue
Vol. 34 No. 3 (2021)
Section
Articles