On a functional equation related to an automorphism of a unit circle
In this article the complete description of the decisions of a functional equation (1 + ¯ζeiθ z)pf (z) = f (ω(0))f (z) is given, where ω(z) = (eiθ z + ζ )/(1 + ¯ζeiθ z) – automorphism of a unit circle E and the decisions are searched among analytical in E functions. It is established, that research...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-09-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30568 |
| _version_ | 1797198415128428544 |
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| author | Eduardas Kirjackis |
| author_facet | Eduardas Kirjackis |
| author_sort | Eduardas Kirjackis |
| collection | DOAJ |
| description |
In this article the complete description of the decisions of a functional equation
(1 + ¯ζeiθ z)pf (z) = f (ω(0))f (z)
is given, where ω(z) = (eiθ z + ζ )/(1 + ¯ζeiθ z) – automorphism of a unit circle E and the decisions are searched among analytical in E functions. It is established, that research of a given functional equation is closely connected to property of stationary points of automorpism ω(z).
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| first_indexed | 2024-03-07T14:22:03Z |
| format | Article |
| id | doaj.art-21e128c8bab543a582481b9296794623 |
| institution | Directory Open Access Journal |
| issn | 0132-2818 2335-898X |
| language | English |
| last_indexed | 2024-04-24T06:59:29Z |
| publishDate | 2023-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj.art-21e128c8bab543a582481b92967946232024-04-22T09:01:07ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30568On a functional equation related to an automorphism of a unit circleEduardas Kirjackis0Vilnius Gedimino Technical University In this article the complete description of the decisions of a functional equation (1 + ¯ζeiθ z)pf (z) = f (ω(0))f (z) is given, where ω(z) = (eiθ z + ζ )/(1 + ¯ζeiθ z) – automorphism of a unit circle E and the decisions are searched among analytical in E functions. It is established, that research of a given functional equation is closely connected to property of stationary points of automorpism ω(z). https://www.zurnalai.vu.lt/LMR/article/view/30568analytical functionunit circleautomorphism of unit circle |
| spellingShingle | Eduardas Kirjackis On a functional equation related to an automorphism of a unit circle Lietuvos Matematikos Rinkinys analytical function unit circle automorphism of unit circle |
| title | On a functional equation related to an automorphism of a unit circle |
| title_full | On a functional equation related to an automorphism of a unit circle |
| title_fullStr | On a functional equation related to an automorphism of a unit circle |
| title_full_unstemmed | On a functional equation related to an automorphism of a unit circle |
| title_short | On a functional equation related to an automorphism of a unit circle |
| title_sort | on a functional equation related to an automorphism of a unit circle |
| topic | analytical function unit circle automorphism of unit circle |
| url | https://www.zurnalai.vu.lt/LMR/article/view/30568 |
| work_keys_str_mv | AT eduardaskirjackis onafunctionalequationrelatedtoanautomorphismofaunitcircle |