Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case Articles uri icon

publication date

  • August 2023

start page

  • 475

end page

  • 508

issue

  • 2

volume

  • 151

International Standard Serial Number (ISSN)

  • 0022-2526

Electronic International Standard Serial Number (EISSN)

  • 1467-9590

abstract

  • The aim here is to consider the orthogonal polynomials (...) The paper also looks at a special example of a CPPM2K on the real line, where one of the measures is the Jacobi measure, and provides a much more detailed study of the properties of the orthogonal polynomials and the corresponding connection coefficients. In particular, the relation that these connection coefficients have with the Wilson polynomials is exposed.

subjects

  • Mathematics

keywords

  • sobolev orthogonal polynomials; wilson polynomials; zeros