Bohr’s Inequality And Its Extensions

dc.contributor.author	Ng, Zhen Chuan
dc.date.accessioned	2020-10-23T09:33:59Z
dc.date.available	2020-10-23T09:33:59Z
dc.date.issued	2017-11
dc.description.abstract	This thesis focuses on generalizing the Bohr’s theorem. Let h be a univalent function defined on U. Also, let R(a; g;h) be the class of functions f analytic in U such that the differential f (z)+az f 0(z)+gz2 f 00(z) is subordinate to h(z). The Bohr’s theorems for the class R(a; g;h) are proved for h being a convex function and a starlike function with respect to h(0). The Bohr’s theorems for the class of analytic functions mapping U into concave wedges and punctured unit disk are next obtained in the following chapter. The classical Bohr radius 1=3 is shown to be invariant by replacing the Euclidean distance d with either the spherical chordal distance or the distance in Poincaré disk model. Also, the Bohr’s theorem for any Euclidean convex set is shown to have its analogous version in the Poincaré disk model. Finally, the Bohr’s theorems are obtained for some subclasses of harmonic and logharmonic mappings defined on the unit disk U.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/10584
dc.language.iso	en	en_US
dc.publisher	Universiti Sains Malaysia	en_US
dc.subject	Bohr’s Inequality And Its Extensions	en_US
dc.title	Bohr’s Inequality And Its Extensions	en_US
dc.type	Thesis	en_US

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