Differential Subordination Of Analytic Functions With Fixed Initial Coefficient

Salleh, Nurshamimi (2015) Differential Subordination Of Analytic Functions With Fixed Initial Coefficient. Masters thesis, Universiti Sains Malaysia.

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Abstract

Tesis ini mengkaji fungsi analisis bernilai kompleks dalam cakera unit dengan pekali awal tetap atau dengan pekali kedua tetap dalam pengembangan sirinya. Kaedah subordinasi pembeza disesuai dan dipertingkatkan untuk membolehkan penggunaannya, yang diperlukan bagi mendapatkan kelas-kelas fungsi teraku yang sesuai. Tiga masalah penyelidikan dibincangkan di dalam tesis ini. This thesis investigates complex-valued analytic functions in the unit disk with fixed initial coefficient or with fixed second coefficient in its series expansion. The methodology of differential subordination is adapted and enhanced to enable its use, which requires obtaining appropriate classes of admissible functions. Three research problems are discussed in this thesis.

Item Type: Thesis (Masters)
Subjects: Q Science > QA Mathematics > QA1 Mathematics (General)
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences)
Depositing User: Mr Firdaus Mohamad
Date Deposited: 09 Jan 2017 08:29
Last Modified: 17 May 2018 03:11
URI: http://eprints.usm.my/id/eprint/31488

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