Analytic functions over valued fields
Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective, necessary and sufficient conditions for fixed points,...
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000370 |
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| _version_ | 1832555531390156800 |
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| author | R. Bhaskaran V. Karunakaran |
| author_facet | R. Bhaskaran V. Karunakaran |
| author_sort | R. Bhaskaran |
| collection | DOAJ |
| description | Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective, necessary and sufficient conditions for fixed points, the problem of subordination are studied in this paper. |
| format | Article |
| id | doaj-art-4fe53a186f2744759dfa3028e8b524ae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4fe53a186f2744759dfa3028e8b524ae2025-02-03T05:47:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113224725210.1155/S0161171290000370Analytic functions over valued fieldsR. Bhaskaran0V. Karunakaran1School of Mathematics, Madurai Kamaraj University, Madurai 625 021, IndiaSchool of Mathematics, Madurai Kamaraj University, Madurai 625 021, IndiaLet K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective, necessary and sufficient conditions for fixed points, the problem of subordination are studied in this paper.http://dx.doi.org/10.1155/S0161171290000370non-archimedean valuationanalyticunivalentsubordinationfixed points. |
| spellingShingle | R. Bhaskaran V. Karunakaran Analytic functions over valued fields International Journal of Mathematics and Mathematical Sciences non-archimedean valuation analytic univalent subordination fixed points. |
| title | Analytic functions over valued fields |
| title_full | Analytic functions over valued fields |
| title_fullStr | Analytic functions over valued fields |
| title_full_unstemmed | Analytic functions over valued fields |
| title_short | Analytic functions over valued fields |
| title_sort | analytic functions over valued fields |
| topic | non-archimedean valuation analytic univalent subordination fixed points. |
| url | http://dx.doi.org/10.1155/S0161171290000370 |
| work_keys_str_mv | AT rbhaskaran analyticfunctionsovervaluedfields AT vkarunakaran analyticfunctionsovervaluedfields |