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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| 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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| Summary: | 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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