Initial Coefficients of Biunivalent Functions
An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some subclasses of univalent functions. Some earlie...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/640856 |
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| author | See Keong Lee V. Ravichandran Shamani Supramaniam |
| author_facet | See Keong Lee V. Ravichandran Shamani Supramaniam |
| author_sort | See Keong Lee |
| collection | DOAJ |
| description | An analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some subclasses of univalent functions. Some earlier results are shown to be special cases of our results. |
| format | Article |
| id | doaj-art-6483a75e914b47b59c44c9d26fbbc692 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6483a75e914b47b59c44c9d26fbbc6922025-02-03T05:44:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/640856640856Initial Coefficients of Biunivalent FunctionsSee Keong Lee0V. Ravichandran1Shamani Supramaniam2School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Penang, MalaysiaDepartment of Mathematics, University of Delhi, Delhi 110 007, IndiaSchool of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Penang, MalaysiaAn analytic function f defined on the open unit disk is biunivalent if the function f and its inverse f-1 are univalent in 𝔻. Estimates for the initial coefficients of biunivalent functions f are investigated when f and f-1, respectively, belong to some subclasses of univalent functions. Some earlier results are shown to be special cases of our results.http://dx.doi.org/10.1155/2014/640856 |
| spellingShingle | See Keong Lee V. Ravichandran Shamani Supramaniam Initial Coefficients of Biunivalent Functions Abstract and Applied Analysis |
| title | Initial Coefficients of Biunivalent Functions |
| title_full | Initial Coefficients of Biunivalent Functions |
| title_fullStr | Initial Coefficients of Biunivalent Functions |
| title_full_unstemmed | Initial Coefficients of Biunivalent Functions |
| title_short | Initial Coefficients of Biunivalent Functions |
| title_sort | initial coefficients of biunivalent functions |
| url | http://dx.doi.org/10.1155/2014/640856 |
| work_keys_str_mv | AT seekeonglee initialcoefficientsofbiunivalentfunctions AT vravichandran initialcoefficientsofbiunivalentfunctions AT shamanisupramaniam initialcoefficientsofbiunivalentfunctions |