Continued fractions and orthogonal polynomials on the unit circle

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dc.authoridKhrushchev, Sergey/0000-0002-8854-5317
dc.authorscopusid7004133014
dc.authorwosidKhrushchev, Sergey/AAH-8676-2019
dc.contributor.authorKhrushchev, Sergey
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:10:07Z
dc.date.available2024-07-05T15:10:07Z
dc.date.issued2005
dc.departmentAtılım Universityen_US
dc.department-tempAtilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.descriptionKhrushchev, Sergey/0000-0002-8854-5317en_US
dc.description.abstractThis survey is written to stress the role of continued fractions in the theory of orthogonal polynomials on the line and on the circle. We follow the historical development of the subject, which opens many interesting relationships of orthogonal polynomials to other important branches of mathematics. At the end we present a new formula for orthogonal polynomials on the real line, the Leganes formula, [GRAPHICS] which is a correct analogue of the corresponding formula on the unit circle. This formula is applied to obtain a recent result by Simon. (c) 2004 Elsevier B.V. All rights reserved.en_US
dc.identifier.citation5
dc.identifier.doi10.1016/j.cam.2004.02.027
dc.identifier.endpage303en_US
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.issue1-2en_US
dc.identifier.scopus2-s2.0-14844365670
dc.identifier.startpage267en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2004.02.027
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1255
dc.identifier.volume178en_US
dc.identifier.wosWOS:000228030600021
dc.identifier.wosqualityQ1
dc.institutionauthorKhrushchev, S
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartof7th International Symposium on Orthogonal Polynomials, Special Functions and Applications -- AUG 18-22, 2003 -- Univ Copenhagen, Copenhagen, DENMARKen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectcontinued fractionen_US
dc.subjectP-fractionen_US
dc.subjectperiodic fractionen_US
dc.subjectPell's equationen_US
dc.subjectintegration in finite termsen_US
dc.subjectorthogonal polynomialsen_US
dc.subjectSchur's algorithmen_US
dc.subjectmoment's problemen_US
dc.titleContinued fractions and orthogonal polynomials on the unit circleen_US
dc.typeConference Objecten_US
dspace.entity.typePublication
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