On the Coefficient Problem of Meromorphic Harmonic Mappings
In this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed. For this purpose, we apply Faber polynomials and an inequality of the Grunsky type.
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| Format: | Article |
| Language: | English |
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De Gruyter
2014-12-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0068/dema-2014-0068.xml?format=INT |
| _version_ | 1818972471707041792 |
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| author | Widomski Jarosław |
| author_facet | Widomski Jarosław |
| author_sort | Widomski Jarosław |
| collection | DOAJ |
| description | In this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed. For this purpose, we apply Faber polynomials and an inequality of the Grunsky type. |
| first_indexed | 2024-12-20T15:08:48Z |
| format | Article |
| id | doaj.art-3b55df8f01c049108403cad767a23606 |
| institution | Directory Open Access Journal |
| issn | 0420-1213 2391-4661 |
| language | English |
| last_indexed | 2024-12-20T15:08:48Z |
| publishDate | 2014-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-3b55df8f01c049108403cad767a236062022-12-21T19:36:23ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-12-0147484885310.2478/dema-2014-0068dema-2014-0068On the Coefficient Problem of Meromorphic Harmonic MappingsWidomski Jarosław0INSTITUTE OF MATHEMATICS MARIA CURIE-SKŁODOWSKA UNIVERSITY 20-031 LUBLIN, POLANDIn this paper, we shall study estimates for the coefficients an, n = 1,2 of a class of univalent harmonic mappings defined on the exterior of the unit disk Ũ = { z : |z| > 1 }, which keep infinity fixed. For this purpose, we apply Faber polynomials and an inequality of the Grunsky type.http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0068/dema-2014-0068.xml?format=INTand phrases harmonic meromorphic mappingcoefficient bounds |
| spellingShingle | Widomski Jarosław On the Coefficient Problem of Meromorphic Harmonic Mappings Demonstratio Mathematica and phrases harmonic meromorphic mapping coefficient bounds |
| title | On the Coefficient Problem of Meromorphic Harmonic Mappings |
| title_full | On the Coefficient Problem of Meromorphic Harmonic Mappings |
| title_fullStr | On the Coefficient Problem of Meromorphic Harmonic Mappings |
| title_full_unstemmed | On the Coefficient Problem of Meromorphic Harmonic Mappings |
| title_short | On the Coefficient Problem of Meromorphic Harmonic Mappings |
| title_sort | on the coefficient problem of meromorphic harmonic mappings |
| topic | and phrases harmonic meromorphic mapping coefficient bounds |
| url | http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0068/dema-2014-0068.xml?format=INT |
| work_keys_str_mv | AT widomskijarosław onthecoefficientproblemofmeromorphicharmonicmappings |