Sieved para-orthogonal polynomials on the unit circle Articles uri icon

publication date

  • October 2014

start page

  • 335

end page

  • 343

volume

  • 244

International Standard Serial Number (ISSN)

  • 0096-3003

Electronic International Standard Serial Number (EISSN)

  • 1873-5649

abstract

  • Sieved orthogonal polynomials on the unit circle were introduced independently by Ismail and Li (1992) [15] and Marcellán and Sansigre (1991) [19]. We look at the para-orthogonal polynomials, chain sequences and quadrature formulas that follow from the kernel polynomials of sieved orthogonal polynomials on the unit circle.

keywords

  • chain sequences; para-orthogonal polynomials; sieved orthogonal polynomials on the unit circle; chains; orthogonal polynomials on the unit circle; para-orthogonal polynomials; quadrature formula; unit circles; orthogonal functions