Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/12233
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dc.contributor.authorPashaev, Oktayen_US
dc.date.accessioned2022-08-01T13:39:00Z-
dc.date.available2022-08-01T13:39:00Z-
dc.date.issued2022-
dc.identifier.issn2194-1009-
dc.identifier.urihttps://doi.org/10.1007/978-3-030-96401-6_11-
dc.identifier.urihttps://hdl.handle.net/11147/12233-
dc.description2nd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2021en_US
dc.description.abstractBy introducing the hierarchy of Fibonacci divisors and corresponding quantum derivatives, we develop the golden calculus, hierarchy of golden binomials and related exponential functions, translation operator and infinite hierarchy of Golden analytic functions. The hierarchy of Golden periodic functions, appearing in this calculus we relate with the method of images in planar hydrodynamics for incompressible and irrotational flow in bounded domain. We show that the even hierarchy of these functions determines the flow in the annular domain, bounded by concentric circles with the ratio of radiuses in powers of the Golden ratio. As an example, complex potential and velocity field for the set of point vortices with Golden proportion of images are calculated explicitly.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofSpringer Proceedings in Mathematics and Statisticsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFibonacci divisorsen_US
dc.subjectGolden calculusen_US
dc.subjectHydrodynamic imagesen_US
dc.titlePQ-calculus of Fibonacci divisors and method of images in planar hydrodynamicsen_US
dc.typeConference Objecten_US
dc.authorid0000-0002-6249-1277en_US
dc.institutionauthorPashaev, Oktayen_US
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.scopus2-s2.0-85128986200en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.relation.conferenceInternational Conference on Mathematics and its Applications in Science and Engineering ICMASE 2021en_US
dc.relation.publicationMathematical Methods for Engineering Applicationsen_US
dc.identifier.doi10.1007/978-3-030-96401-6_11-
dc.contributor.affiliationIzmir Institute of Technologyen_US
dc.relation.isbn978-3-030-96400-9en_US
dc.relation.doi10.1007/978-3-030-96401-6en_US
dc.relation.issn2194-1009en_US
dc.description.volume384en_US
dc.description.startpage125en_US
dc.description.endpage136en_US
dc.identifier.wosqualityN/A-
dc.identifier.scopusqualityQ4-
item.grantfulltextopen-
item.openairetypeConference Object-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
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