Analytic and Harmonic Univalent Functions

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...

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Main Authors: Ravichandran, V., P. Ahuja, Om, M. Ali, Rosihan
Format: Article
Language:en
Published: Hindawi Publishing Corporation 2014
Subjects:
Online Access:http://eprints.usm.my/38323/1/Analytic_and_Harmonic_Univalent_Functions.pdf
http://eprints.usm.my/38323/
http://dx.doi.org/10.1155/2014/578214
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author Ravichandran, V.
P. Ahuja, Om
M. Ali, Rosihan
author_facet Ravichandran, V.
P. Ahuja, Om
M. Ali, Rosihan
author_sort Ravichandran, V.
building Hamzah Sendut Library
collection Institutional Repository
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
continent Asia
country Malaysia
description 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.
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spelling my.usm.eprints.38323 http://eprints.usm.my/38323/ Analytic and Harmonic Univalent Functions Ravichandran, V. P. Ahuja, Om M. Ali, Rosihan QA1-939 Mathematics 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://eprints.usm.my/38323/1/Analytic_and_Harmonic_Univalent_Functions.pdf 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 http://dx.doi.org/10.1155/2014/578214
spellingShingle QA1-939 Mathematics
Ravichandran, V.
P. Ahuja, Om
M. Ali, Rosihan
Analytic and Harmonic Univalent Functions
title Analytic and Harmonic Univalent Functions
title_full Analytic and Harmonic Univalent Functions
title_fullStr Analytic and Harmonic Univalent Functions
title_full_unstemmed Analytic and Harmonic Univalent Functions
title_short Analytic and Harmonic Univalent Functions
title_sort analytic and harmonic univalent functions
topic QA1-939 Mathematics
url http://eprints.usm.my/38323/1/Analytic_and_Harmonic_Univalent_Functions.pdf
http://eprints.usm.my/38323/
http://dx.doi.org/10.1155/2014/578214
url_provider http://eprints.usm.my/