On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points
We introduce new subclasses 𝑆𝜎,𝑠𝑘(𝜆,𝛿,𝜙) and 𝐾𝜎,𝑠𝑘(𝜆,𝛿,𝜙) of analytic functions with respect to 𝑘-symmetric points defined by differential operator. Some interesting properties for these classes are obtained.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/834064 |
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| _version_ | 1832565484275367936 |
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| author | Afaf A. Ali Abubaker Maslina Darus |
| author_facet | Afaf A. Ali Abubaker Maslina Darus |
| author_sort | Afaf A. Ali Abubaker |
| collection | DOAJ |
| description | We introduce new subclasses 𝑆𝜎,𝑠𝑘(𝜆,𝛿,𝜙) and 𝐾𝜎,𝑠𝑘(𝜆,𝛿,𝜙)
of analytic functions with respect to 𝑘-symmetric points defined by differential
operator. Some interesting properties for these classes are obtained. |
| format | Article |
| id | doaj-art-fa40da7e2a284d0a958e292d9aaea60b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fa40da7e2a284d0a958e292d9aaea60b2025-02-03T01:07:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/834064834064On Starlike and Convex Functions with Respect to 𝑘-Symmetric PointsAfaf A. Ali Abubaker0Maslina Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, MalaysiaWe introduce new subclasses 𝑆𝜎,𝑠𝑘(𝜆,𝛿,𝜙) and 𝐾𝜎,𝑠𝑘(𝜆,𝛿,𝜙) of analytic functions with respect to 𝑘-symmetric points defined by differential operator. Some interesting properties for these classes are obtained.http://dx.doi.org/10.1155/2011/834064 |
| spellingShingle | Afaf A. Ali Abubaker Maslina Darus On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points International Journal of Mathematics and Mathematical Sciences |
| title | On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points |
| title_full | On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points |
| title_fullStr | On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points |
| title_full_unstemmed | On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points |
| title_short | On Starlike and Convex Functions with Respect to 𝑘-Symmetric Points |
| title_sort | on starlike and convex functions with respect to 𝑘 symmetric points |
| url | http://dx.doi.org/10.1155/2011/834064 |
| work_keys_str_mv | AT afafaaliabubaker onstarlikeandconvexfunctionswithrespecttoksymmetricpoints AT maslinadarus onstarlikeandconvexfunctionswithrespecttoksymmetricpoints |