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dc.contributor.author | Elizarov A. | |
dc.contributor.author | Kazantsev A. | |
dc.contributor.author | Kinder M. | |
dc.date.accessioned | 2019-01-22T20:51:38Z | |
dc.date.available | 2019-01-22T20:51:38Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1995-0802 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/149136 | |
dc.description.abstract | © 2018, Pleiades Publishing, Ltd. For (n + 1)-ly connected planar domain D with analytic boundary we construct the function F(w,w0) = (w − w0)f(w,w0) which maps D conformally onto the unit disk with circular and radial slits. We show that if n ≥ 2, then Mityuk’s function, M(w) = −(2π)−1ln |f(w,w)|, representing the generalized reduced module of the domain D has at least one stationary point in D. | |
dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
dc.subject | canonical domain | |
dc.subject | Conformal map | |
dc.subject | generalized reduced module | |
dc.subject | Mityuk’s function | |
dc.subject | Mityuk’s radius | |
dc.subject | multiply connected domain | |
dc.title | Generalized Reduced Module of a Domain Over the Unit Disc with Circular and Radial Slits | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 5 | |
dc.relation.ispartofseries-volume | 39 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 664 | |
dc.source.id | SCOPUS19950802-2018-39-5-SID85049572081 |