A new approach to connect algebra with analysis: Relationships and applications between presentations and generating functions

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dc.contributor.authorŞimşek, Yılmaz
dc.contributor.authorÇevik, Ahmet Sinan
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.researcheridABA-6206-2020tr_TR
dc.contributor.researcheridJ-3505-2017tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.date.accessioned2022-10-14T07:40:10Z
dc.date.available2022-10-14T07:40:10Z
dc.date.issued2013-03-14
dc.description.abstractFor a minimal group (or monoid) presentation P, let us suppose that P satisfies the algebraic property of either being efficient or inefficient. Then one can investigate whether some generating functions can be applied to it and study what kind of new properties can be obtained by considering special generating functions. To establish that, we will use the presentations of infinite group and monoid examples, namely the split extensions Z(n) X Zand Z(2) X Z, respectively. This study will give an opportunity to make a new classification of infinite groups and monoids by using generating functions.en_US
dc.description.sponsorshipSelçuk Üniversitesitr_TR
dc.description.sponsorshipAkdeniz Üniversitesitr_TR
dc.identifier.citationCangül, İ. N. vd. (2013). "A new approach to connect algebra with analysis: Relationships and applications between presentations and generating functions". Boundary Value Problems, 2013.en_US
dc.identifier.issn1687-2770
dc.identifier.scopus2-s2.0-84877047303tr_TR
dc.identifier.urihttps://doi.org/10.1186/1687-2770-2013-51
dc.identifier.urihttps://boundaryvalueproblems.springeropen.com/articles/10.1186/1687-2770-2013-51
dc.identifier.urihttp://hdl.handle.net/11452/29096
dc.identifier.volume2013tr_TR
dc.identifier.wos000325722000001tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherSpringer
dc.relation.bap(2012-15)-(2012-19)tr_TR
dc.relation.collaborationYurt içitr_TR
dc.relation.journalBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMathematicsen_US
dc.subjectEfficiencyen_US
dc.subjectp-Cockcroft propertyen_US
dc.subjectSplit extensionen_US
dc.subjectGenerating functionsen_US
dc.subjectStirling numbersen_US
dc.subjectArray polynomialsen_US
dc.subjectP-adic integersen_US
dc.subjectSemidirect productsen_US
dc.subjectInefficient presentationsen_US
dc.subjectBernoulli numbersen_US
dc.subjectWord problemen_US
dc.subjectMonoidsen_US
dc.subjectPolynomialsen_US
dc.subjectEuleren_US
dc.subjectRingen_US
dc.subject.scopusSemigroup; Inverse Semigroup; Word Problemen_US
dc.subject.wosMathematics, applieden_US
dc.subject.wosMathematicsen_US
dc.titleA new approach to connect algebra with analysis: Relationships and applications between presentations and generating functionsen_US
dc.typeArticle
dc.wos.quartileQ1 (Mathematics)en_US
dc.wos.quartileQ2 (Mathematics, applied)en_US

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