English

Measures for orthogonal polynomials with unbounded recurrence coefficients

Classical Analysis and ODEs 2014-08-28 v3

Abstract

Systems of orthogonal polynomials whose recurrence coefficients tend to infinity are considered. A summability condition is imposed on the coefficients and the consequences for the measure of orthogonality are discussed. Also discussed are asymptotics for the polynomials.

Keywords

Cite

@article{arxiv.1408.5349,
  title  = {Measures for orthogonal polynomials with unbounded recurrence coefficients},
  author = {A. I. Aptekarev and J. S. Geronimo},
  journal= {arXiv preprint arXiv:1408.5349},
  year   = {2014}
}

Comments

11 pages, revision added abstract, key words and MSC class. Revision removed last name from list of authors

R2 v1 2026-06-22T05:36:56.351Z