dc.contributor.author |
Kayumov I. |
|
dc.date.accessioned |
2018-09-17T20:03:55Z |
|
dc.date.available |
2018-09-17T20:03:55Z |
|
dc.date.issued |
2005 |
|
dc.identifier.issn |
0001-4346 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/132980 |
|
dc.description.abstract |
In this paper, we prove Brennan's conjecture for conformal mappings f of the disk {z : | z| < 1} assuming that the Taylor coefficients of the function log(zf′(z)/f(z)) at zero are nonnegative. We also obtain inequalities for the integral means over the circle |z| = r of the squared modulus of the function zf′(z)/f(z). © 2005 Springer Science+Business Media, Inc. |
|
dc.relation.ispartofseries |
Mathematical Notes |
|
dc.subject |
Brennan's conjecture |
|
dc.subject |
Conformal mapping |
|
dc.subject |
Fractal boundary |
|
dc.subject |
Koebe function |
|
dc.subject |
Univalent analytic function |
|
dc.title |
On Brennan's conjecture for a special class of functions |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
3-4 |
|
dc.relation.ispartofseries-volume |
78 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
498 |
|
dc.source.id |
SCOPUS00014346-2005-78-34-SID27144501471 |
|