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...
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| Format: | Thesis |
| Published: |
2012
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| Subjects: | |
| Online Access: | 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 http://studentsrepo.um.edu.my/4238/ |
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| Institution: | Universiti Malaya |
| Summary: | 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 |
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