Szego{double acute} transformations and Nth order associated polynomials on the unit circle

L. Garza; F. Marcellán

doi:10.1016/j.camwa.2009.03.040

Szego{double acute} transformations and Nth order associated polynomials on the unit circle

L. Garza, F. Marcellán^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper we analyze the Stieltjes functions defined by the Szego{double acute} inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or forward shifts in their Verblunsky parameters. Such polynomials are called anti-associated (respectively associated) orthogonal polynomials. Thus, rational spectral transformations appear in a natural way.

Original language	English
Pages (from-to)	1659-1671
Number of pages	13
Journal	Computers and Mathematics with Applications
Volume	57
Issue number	10
DOIs	https://doi.org/10.1016/j.camwa.2009.03.040
Publication status	Published - May 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Access to Document

10.1016/j.camwa.2009.03.040

Cite this

@article{b3a831de6d8d4a1a896d5c80db6687d2,

title = "Szego{double acute} transformations and Nth order associated polynomials on the unit circle",

abstract = "In this paper we analyze the Stieltjes functions defined by the Szego{double acute} inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or forward shifts in their Verblunsky parameters. Such polynomials are called anti-associated (respectively associated) orthogonal polynomials. Thus, rational spectral transformations appear in a natural way.",

author = "L. Garza and F. Marcell{\'a}n",

year = "2009",

month = may,

doi = "10.1016/j.camwa.2009.03.040",

language = "English",

volume = "57",

pages = "1659--1671",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Limited",

number = "10",

}

TY - JOUR

T1 - Szego{double acute} transformations and Nth order associated polynomials on the unit circle

AU - Garza, L.

AU - Marcellán, F.

PY - 2009/5

Y1 - 2009/5

N2 - In this paper we analyze the Stieltjes functions defined by the Szego{double acute} inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or forward shifts in their Verblunsky parameters. Such polynomials are called anti-associated (respectively associated) orthogonal polynomials. Thus, rational spectral transformations appear in a natural way.

AB - In this paper we analyze the Stieltjes functions defined by the Szego{double acute} inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or forward shifts in their Verblunsky parameters. Such polynomials are called anti-associated (respectively associated) orthogonal polynomials. Thus, rational spectral transformations appear in a natural way.

UR - http://www.scopus.com/inward/record.url?scp=67349280939&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349280939&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2009.03.040

DO - 10.1016/j.camwa.2009.03.040

M3 - Article

AN - SCOPUS:67349280939

SN - 0898-1221

VL - 57

SP - 1659

EP - 1671

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 10

ER -

Szego{double acute} transformations and Nth order associated polynomials on the unit circle

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this