Analytic and Harmonic Univalent Functions

Ravichandran, V. and P. Ahuja, Om and M. Ali, Rosihan (2014) Analytic and Harmonic Univalent Functions. Abstract and Applied Analysis, 2014 (578214). pp. 1-2. ISSN 1085-3375

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Abstract

Studies on analytic univalent functions became the focus of intense researchwith theBieberbachconjectureposed in 1916 concerning the size of the moduli of the Taylor coefficients of these functions. In efforts towards its resolution, the conjecture inspired the development of several ingeniously different mathematical techniques with powerful influence. These techniques include Lowner’s parametric representation method, the area method,Grunsky inequalities, and methods of variations.Despite the fact that the conjecture was affirmatively settled by de Branges in 1985, complex function theory continued to remain a highly active relevant area of research.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Article
Depositing User: Mr Noorazilan Noordin
Date Deposited: 10 Jan 2018 03:38
Last Modified: 10 Jan 2018 03:38
URI: http://eprints.usm.my/id/eprint/38323

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