Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials ∗

@inproceedings{MartnezFinkelshtein2010StrongAF,
  title={Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials ∗},
  author={Andrei Mart́ınez-Finkelshtein},
  year={2010}
}
  • Andrei Mart́ınez-Finkelshtein
  • Published 2010
We study the asymptotic behaviour of the monic orthogonal polynomials with respect to the Gegenbauer-Sobolev inner product (f, g)S = 〈f, g〉 + λ〈f ′, g′〉 where 〈f, g〉 = ∫ 1 −1 f(x)g(x)(1 − x 2)α−1/2dx with α > −1/2 and λ > 0. The asymptotics of the zeros and norms of these polynomials is also established. The study of the orthogonal polynomials with respect… CONTINUE READING