On the extreme points of some classes of holomorphic functions
Let U be the unit disk, D⊃U an open connected set and z0∈D. Let also P(z0,c,D) be the class of holomorphic functions in D for which f(z0)=c and Ref(z)>0 in U. We find the extreme points of the class P(z0,c,D).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297001129 |
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doaj-26d9dda827e04bf18944347c61e253b92020-11-24T22:12:43ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120482382410.1155/S0161171297001129On the extreme points of some classes of holomorphic functionsNicolas Samaris0Department of Mathematics, University of Patras, Patras 26110, GreeceLet U be the unit disk, D⊃U an open connected set and z0∈D. Let also P(z0,c,D) be the class of holomorphic functions in D for which f(z0)=c and Ref(z)>0 in U. We find the extreme points of the class P(z0,c,D).http://dx.doi.org/10.1155/S0161171297001129extreme pointspositive real part. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nicolas Samaris |
| spellingShingle |
Nicolas Samaris On the extreme points of some classes of holomorphic functions International Journal of Mathematics and Mathematical Sciences extreme points positive real part. |
| author_facet |
Nicolas Samaris |
| author_sort |
Nicolas Samaris |
| title |
On the extreme points of some classes of holomorphic functions |
| title_short |
On the extreme points of some classes of holomorphic functions |
| title_full |
On the extreme points of some classes of holomorphic functions |
| title_fullStr |
On the extreme points of some classes of holomorphic functions |
| title_full_unstemmed |
On the extreme points of some classes of holomorphic functions |
| title_sort |
on the extreme points of some classes of holomorphic functions |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1997-01-01 |
| description |
Let U be the unit disk, D⊃U an open connected set and z0∈D. Let also
P(z0,c,D) be the class of holomorphic functions in D for which f(z0)=c and Ref(z)>0 in U.
We find the extreme points of the class P(z0,c,D). |
| topic |
extreme points positive real part. |
| url |
http://dx.doi.org/10.1155/S0161171297001129 |
| work_keys_str_mv |
AT nicolassamaris ontheextremepointsofsomeclassesofholomorphicfunctions |
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1725802635309613056 |