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 |
|