Properties of Analytic and Harmonic Functions / Rashida binti Omar
The starlikeness of integral transform V_f(z) = R 1 0 _(t) f(tz) t dt was _rst studied by Fournier and Ruscheweyh in 1994. This investigation is extended to starlikeness and convexity of order _ where _ 2 (0; 1 2 ]. Making use the class introduced by Rosihan et al. (2012b), we determine the st...
| Main Author: | |
|---|---|
| Format: | Thesis |
| Published: |
2012
|
| Subjects: | |
| Online Access: | http://pendeta.um.edu.my/client/default/search/detailnonmodal/ent:$002f$002fSD_ILS$002f988$002fSD_ILS:988534/ada?qu=Properties+of+analytic+and+harmonic+functions http://studentsrepo.um.edu.my/4238/1/THESIS_PDF_(3_OGOS_2013).pdf |
| _version_ | 1848772596792819712 |
|---|---|
| author | Omar, Rashidah |
| author_facet | Omar, Rashidah |
| author_sort | Omar, Rashidah |
| building | UM Research Repository |
| collection | Online Access |
| description | The starlikeness of integral transform V_f(z) = R 1
0 _(t) f(tz)
t dt was _rst studied by
Fournier and Ruscheweyh in 1994. This investigation is extended to starlikeness and
convexity of order _ where _ 2 (0; 1
2 ]. Making use the class introduced by Rosihan et
al. (2012b), we determine the starlikeness and convexity of order _ for the integral
transforms V_f using the concept of duality and Herglotz formula. In addition, a
su_cient condition for V_f to be starlike and convex functions order _ and some
applications of certain operators are also looked at. Furthermore, these properties
are obtained for the integral transform V_f(z) = z
R 1
0 _(t) 1 |
| first_indexed | 2025-11-14T13:29:02Z |
| format | Thesis |
| id | um-4238 |
| institution | University Malaya |
| institution_category | Local University |
| last_indexed | 2025-11-14T13:29:02Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | um-42382014-09-26T04:07:36Z Properties of Analytic and Harmonic Functions / Rashida binti Omar Omar, Rashidah Q Science (General) QA Mathematics The starlikeness of integral transform V_f(z) = R 1 0 _(t) f(tz) t dt was _rst studied by Fournier and Ruscheweyh in 1994. This investigation is extended to starlikeness and convexity of order _ where _ 2 (0; 1 2 ]. Making use the class introduced by Rosihan et al. (2012b), we determine the starlikeness and convexity of order _ for the integral transforms V_f using the concept of duality and Herglotz formula. In addition, a su_cient condition for V_f to be starlike and convex functions order _ and some applications of certain operators are also looked at. Furthermore, these properties are obtained for the integral transform V_f(z) = z R 1 0 _(t) 1 2012 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/4238/1/THESIS_PDF_(3_OGOS_2013).pdf http://pendeta.um.edu.my/client/default/search/detailnonmodal/ent:$002f$002fSD_ILS$002f988$002fSD_ILS:988534/ada?qu=Properties+of+analytic+and+harmonic+functions Omar, Rashidah (2012) Properties of Analytic and Harmonic Functions / Rashida binti Omar. PhD thesis, University of Malaya. http://studentsrepo.um.edu.my/4238/ |
| spellingShingle | Q Science (General) QA Mathematics Omar, Rashidah Properties of Analytic and Harmonic Functions / Rashida binti Omar |
| title | Properties of Analytic and Harmonic Functions / Rashida binti Omar |
| title_full | Properties of Analytic and Harmonic Functions / Rashida binti Omar |
| title_fullStr | Properties of Analytic and Harmonic Functions / Rashida binti Omar |
| title_full_unstemmed | Properties of Analytic and Harmonic Functions / Rashida binti Omar |
| title_short | Properties of Analytic and Harmonic Functions / Rashida binti Omar |
| title_sort | properties of analytic and harmonic functions / rashida binti omar |
| topic | Q Science (General) QA Mathematics |
| url | http://pendeta.um.edu.my/client/default/search/detailnonmodal/ent:$002f$002fSD_ILS$002f988$002fSD_ILS:988534/ada?qu=Properties+of+analytic+and+harmonic+functions http://pendeta.um.edu.my/client/default/search/detailnonmodal/ent:$002f$002fSD_ILS$002f988$002fSD_ILS:988534/ada?qu=Properties+of+analytic+and+harmonic+functions http://studentsrepo.um.edu.my/4238/1/THESIS_PDF_(3_OGOS_2013).pdf |