Application of Faber Polynomials in Proving Combinatorial Identities

  • Author(s) in the Institution Fahreddin ABDULLAYEV
    Meerim İmaş Kızı
  • Author/s F.G. Abdullaev, M. Imash-kyzy, V.V. Savchuk
  • URL https://link.springer.com/article/10.1007/s11253-018-1493-0
  • Publication type Article
  • Publication year 2018
  • Index Type SCI Expanded
    Scopus
  • DOI 10.1007/s11253-018-1493-0
  • Publisher Springer
  • Source Ukrainian Mathematical Journal 70, ( 2 ), pp.165-181 -

We study the possibility of application of Faber polynomials in proving some combinatorial identities. It is shown that the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertible relations. We prove two identities relating the coefficients of Faber polynomials and the coefficients of Laurent expansions of the corresponding conformal mappings. Some examples are presented.

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Publication Name
(dc.title)		Application of Faber Polynomials in Proving Combinatorial Identities
Author/s
(dc.contributor.yazarlar)		F.G. Abdullaev, M. Imash-kyzy, V.V. Savchuk
Publication type
(dc.type)		Makale
Language
(dc.language)		İngilizce
Publication year
(dc.date.issued)		2018
National/International
(dc.identifier.ulusaluluslararasi)		Uluslararası
Source
(dc.relation.journal)		Ukrainian Mathematical Journal
Number
(dc.identifier.issue)		2
Volume/Issue
(dc.identifier.volume)		70
Page
(dc.identifier.startpage)		165-181
ISSN/ISBN
(dc.identifier.issn)		ISSN: 0041-5995; Online ISSN: 1573-9376
Publisher
(dc.publisher)		Springer
Databases
(dc.contributor.veritaban)		Web of Science Core Collection
Databases
(dc.contributor.veritaban)		Springer
Databases
(dc.contributor.veritaban)		Scopus
Index Type
(dc.identifier.index)		SCI Expanded
Index Type
(dc.identifier.index)		Scopus
Impact Factor
(dc.identifier.etkifaktoru)		0,345 / 2018-WOS / 5 Year: 0,37
Abstract
(dc.description.abstract)		We study the possibility of application of Faber polynomials in proving some combinatorial identities. It is shown that the coefficients of Faber polynomials of mutually inverse conformal mappings generate a pair of mutually invertible relations. We prove two identities relating the coefficients of Faber polynomials and the coefficients of Laurent expansions of the corresponding conformal mappings. Some examples are presented.
URL
(dc.rights)		https://link.springer.com/article/10.1007/s11253-018-1493-0
DOI
(dc.identifier.doi)		10.1007/s11253-018-1493-0
Faculty / Institute
(dc.identifier.fakulte)		Fen Fakültesi
Department
(dc.identifier.bolum)		Uygulamalı Matematik ve Enformatik Bölümü
Author(s) in the Institution
(dc.contributor.author)		Fahreddin ABDULLAYEV
Author(s) in the Institution
(dc.contributor.author)		Meerim İmaş Kızı
Kayıt No
(dc.identifier.kayitno)		BL3073C757
Record Add Date
(dc.date.available)		2018-11-01
Notes (Publication year)
(dc.identifier.notyayinyili)		July 2018
Wos No
(dc.identifier.wos)		WOS:000446773700001
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