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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Wiley
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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| _version_ | 1832547558324436992 |
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| author | Nicolas Samaris |
| author_facet | Nicolas Samaris |
| author_sort | Nicolas Samaris |
| collection | DOAJ |
| 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). |
| format | Article |
| id | doaj-art-26d9dda827e04bf18944347c61e253b9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-26d9dda827e04bf18944347c61e253b92025-02-03T06:44:23ZengWileyInternational 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. |
| 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. |
| title | 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_short | On the extreme points of some classes of holomorphic functions |
| title_sort | on the extreme points of some classes of holomorphic functions |
| topic | extreme points positive real part. |
| url | http://dx.doi.org/10.1155/S0161171297001129 |
| work_keys_str_mv | AT nicolassamaris ontheextremepointsofsomeclassesofholomorphicfunctions |