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