Pq-Calculus of Fibonacci Divisors and Method of Images in Planar Hydrodynamics
| dc.contributor.author | Pashaev, Oktay | |
| dc.date.accessioned | 2022-08-01T13:39:00Z | |
| dc.date.available | 2022-08-01T13:39:00Z | |
| dc.date.issued | 2022 | |
| dc.description | 2nd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2021 | en_US |
| dc.description.abstract | By 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.identifier.doi | 10.1007/978-3-030-96401-6_11 | |
| dc.identifier.doi | 10.1007/978-3-030-96401-6 | en_US |
| dc.identifier.isbn | 978-3-030-96400-9 | en_US |
| dc.identifier.issn | 2194-1009 | |
| dc.identifier.issn | 2194-1009 | en_US |
| dc.identifier.scopus | 2-s2.0-85128986200 | |
| dc.identifier.uri | https://doi.org/10.1007/978-3-030-96401-6_11 | |
| dc.identifier.uri | https://hdl.handle.net/11147/12233 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation | Mathematical Methods for Engineering Applications | en_US |
| dc.relation | International Conference on Mathematics and its Applications in Science and Engineering ICMASE 2021 | en_US |
| dc.relation.ispartof | Springer Proceedings in Mathematics and Statistics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fibonacci divisors | en_US |
| dc.subject | Golden calculus | en_US |
| dc.subject | Hydrodynamic images | en_US |
| dc.title | Pq-Calculus of Fibonacci Divisors and Method of Images in Planar Hydrodynamics | en_US |
| dc.type | Conference Object | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | 0000-0002-6249-1277 | |
| gdc.author.id | 0000-0002-6249-1277 | en_US |
| gdc.author.institutional | Pashaev, Oktay | |
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| gdc.contributor.affiliation | Izmir Institute of Technology | en_US |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 136 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 125 | en_US |
| gdc.description.volume | 384 | en_US |
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