Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS CORRESPONDING TO POLYNOMIAL SZEGŐ MEASURE WITH AN INFINITE DISCRETE PART

  • Benghia, Fatima Zohra (Department of Mathematics Laboratory of Pure and Applied Mathematics, Laghouat University) ;
  • Belabbaci, Youcef (Department of Mathematics Laboratory of Pure and Applied Mathematics, Laghouat University)
  • Received : 2020.05.11
  • Accepted : 2020.11.03
  • Published : 2021.08.15
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Abstract

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

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References

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