On subordination for certain subclass of analytic functions
In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|<1} and satisfy the condition |f′(z)+αzf″(z)−1|<M is introduced. By using the method of differential subordination the properties of the class Pα[α,M] are discuss...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129700029X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547543991451648 |
|---|---|
| author | Liu Jinlin |
| author_facet | Liu Jinlin |
| author_sort | Liu Jinlin |
| collection | DOAJ |
| description | In the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1),
which are analytic in the unit disc E={z:|z|<1} and satisfy the condition |f′(z)+αzf″(z)−1|<M
is introduced. By using the method of differential subordination the properties of the class Pα[α,M] are
discussed. |
| format | Article |
| id | doaj-art-013afead40d84b5fa612aae013b84b7c |
| 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-013afead40d84b5fa612aae013b84b7c2025-02-03T06:44:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120222522810.1155/S016117129700029XOn subordination for certain subclass of analytic functionsLiu Jinlin0Water Conservancy College, Yangzhou University, Yangzhou 225009, ChinaIn the present paper the class Pn[α,M] consisting of functions f(z)=z+∑k=n+1∞akzz(n≥1), which are analytic in the unit disc E={z:|z|<1} and satisfy the condition |f′(z)+αzf″(z)−1|<M is introduced. By using the method of differential subordination the properties of the class Pα[α,M] are discussed.http://dx.doi.org/10.1155/S016117129700029Xanalyticstarlikeconvex univalentsubordination. |
| spellingShingle | Liu Jinlin On subordination for certain subclass of analytic functions International Journal of Mathematics and Mathematical Sciences analytic starlike convex univalent subordination. |
| title | On subordination for certain subclass of analytic functions |
| title_full | On subordination for certain subclass of analytic functions |
| title_fullStr | On subordination for certain subclass of analytic functions |
| title_full_unstemmed | On subordination for certain subclass of analytic functions |
| title_short | On subordination for certain subclass of analytic functions |
| title_sort | on subordination for certain subclass of analytic functions |
| topic | analytic starlike convex univalent subordination. |
| url | http://dx.doi.org/10.1155/S016117129700029X |
| work_keys_str_mv | AT liujinlin onsubordinationforcertainsubclassofanalyticfunctions |