Properties of Analytic and Harmonic Functions / Rashida binti Omar

• Main Author: Omar, Rashidah
• Format: Thesis
• Published: 2012
• Subjects: Q Science (General); QA Mathematics
• 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/
• Institution: Universiti Malaya

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