dc.contributor.author | Baratchart, L. | en |
dc.contributor.author | Saff, E. B. | en |
dc.contributor.author | Stylianopoulos, Nikos S. | en |
dc.creator | Baratchart, L. | en |
dc.creator | Saff, E. B. | en |
dc.creator | Stylianopoulos, Nikos S. | en |
dc.date.accessioned | 2019-12-02T10:33:44Z | |
dc.date.available | 2019-12-02T10:33:44Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 1617-9447 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56458 | |
dc.description.abstract | With the aid of Havin's Lemma (which we generalize) we prove that polynomials orthogonal over the unit disk with respect to certain weighted area measures (Bergman polynomials) cannot satisfy a finite-term recurrence relation unless the weight is radial, in which case the polynomials are simply monomials. For polynomials orthogonal over the unit circle (Szego{double acute} polynomials) we provide a simple argument to show that the existence of a finite-term recurrence implies that the weight must be the reciprocal of the square modulus of a polynomial. © 2012 Heldermann Verlag. | en |
dc.source | Computational Methods and Function Theory | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84863204689&partnerID=40&md5=15af558116d08b0ff9d504711707a2be | |
dc.subject | Bergman orthogonal polynomials | en |
dc.subject | Recurrence relations | en |
dc.subject | Szego{double acute} polynomials | en |
dc.subject | Weights | en |
dc.title | On finite-term recurrence relations for Bergman and Szego{double acute} polynomials | en |
dc.type | info:eu-repo/semantics/article | |
dc.description.volume | 12 | |
dc.description.issue | 2 | |
dc.description.startingpage | 393 | |
dc.description.endingpage | 402 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :2</p> | en |
dc.source.abbreviation | Comput.Methods Funct.Theory | en |
dc.contributor.orcid | Stylianopoulos, Nikos S. [0000-0002-1160-5094] | |
dc.gnosis.orcid | 0000-0002-1160-5094 | |