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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2014
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38323/ http://eprints.usm.my/38323/1/Analytic_and_Harmonic_Univalent_Functions.pdf |
| _version_ | 1848878436278337536 |
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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 | USM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T17:31:18Z |
| format | Article |
| id | usm-38323 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T17:31:18Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-383232018-01-10T03:38:57Z 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/ http://eprints.usm.my/38323/ http://eprints.usm.my/38323/1/Analytic_and_Harmonic_Univalent_Functions.pdf |