Coefficient inequalities of subclasses of BI-univalent functions

In this thesis, a class of functions f (z) which are analytic in the open unit disk 'D == {z: lzl < 1} is denoted by .A. Next, s denote the subclass of .A consisting of univalent functions and normalized by f(O) = o and f'(O) = 1. The main subclasses of s are the classes of starlike, co...

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主要作者: Nurdiana Nurali
格式: Thesis
語言:English
出版: 2019
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在線閱讀:https://eprints.ums.edu.my/id/eprint/25096/1/Coefficient%20inequalities%20of%20subclasses%20of%20BI-univalent%20functions.pdf
https://eprints.ums.edu.my/id/eprint/25096/
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總結:In this thesis, a class of functions f (z) which are analytic in the open unit disk 'D == {z: lzl < 1} is denoted by .A. Next, s denote the subclass of .A consisting of univalent functions and normalized by f(O) = o and f'(O) = 1. The main subclasses of s are the classes of starlike, convex, close-to-convex and quasi-convex functions which can be represented ass•, c, X and Q respectively. Every univalent function f has an inverse function defined by 1-1 (f(z)) = z and t(f-1 (w)) = w where lwl < r0(f) and r Cf)