General Approach to Regions of Variability via Subordination of Harmonic Mappings
Using subordination, we determine the regions of variability of several subclasses of harmonic mappings. We also graphically illustrate the regions of variability for several sets of parameters for certain special cases.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/736746 |
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| _version_ | 1832558036222214144 |
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| author | Sh. Chen S. Ponnusamy X. Wang |
| author_facet | Sh. Chen S. Ponnusamy X. Wang |
| author_sort | Sh. Chen |
| collection | DOAJ |
| description | Using subordination, we determine the regions of variability of several
subclasses of harmonic mappings. We also graphically illustrate the regions of variability for
several sets of parameters for certain special cases. |
| format | Article |
| id | doaj-art-63567c73a54e4d93a424a84f9bd4ed4f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-63567c73a54e4d93a424a84f9bd4ed4f2025-02-03T01:33:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/736746736746General Approach to Regions of Variability via Subordination of Harmonic MappingsSh. Chen0S. Ponnusamy1X. Wang2Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartment of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, IndiaDepartment of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaUsing subordination, we determine the regions of variability of several subclasses of harmonic mappings. We also graphically illustrate the regions of variability for several sets of parameters for certain special cases.http://dx.doi.org/10.1155/2009/736746 |
| spellingShingle | Sh. Chen S. Ponnusamy X. Wang General Approach to Regions of Variability via Subordination of Harmonic Mappings International Journal of Mathematics and Mathematical Sciences |
| title | General Approach to Regions of Variability via Subordination of Harmonic Mappings |
| title_full | General Approach to Regions of Variability via Subordination of Harmonic Mappings |
| title_fullStr | General Approach to Regions of Variability via Subordination of Harmonic Mappings |
| title_full_unstemmed | General Approach to Regions of Variability via Subordination of Harmonic Mappings |
| title_short | General Approach to Regions of Variability via Subordination of Harmonic Mappings |
| title_sort | general approach to regions of variability via subordination of harmonic mappings |
| url | http://dx.doi.org/10.1155/2009/736746 |
| work_keys_str_mv | AT shchen generalapproachtoregionsofvariabilityviasubordinationofharmonicmappings AT sponnusamy generalapproachtoregionsofvariabilityviasubordinationofharmonicmappings AT xwang generalapproachtoregionsofvariabilityviasubordinationofharmonicmappings |