Function theory for a beltrami algebra
Complex functions are investigated which are solutions of an elliptic system of partial differential equations associated with a real parameter function. The functions f associated with a particualr parameter function g on a domain D form a Beltrami algebra denoted by the pair (D,g) and a function t...
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000278 |
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| _version_ | 1832545627929575424 |
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| author | B. A. Case |
| author_facet | B. A. Case |
| author_sort | B. A. Case |
| collection | DOAJ |
| description | Complex functions are investigated which are solutions of an elliptic system of partial differential equations associated with a real parameter function. The functions f associated with a particualr parameter function g on a domain D form a Beltrami algebra denoted by the pair (D,g) and a function theory is developed in this algebra. A strong conformality property holds for all functions in a (D,g) algebra. For g≡|z|=r the algebra (D,r) is that of the analytic functions. |
| format | Article |
| id | doaj-art-1b805e3434d0404e8d89c07a6ef9b906 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1b805e3434d0404e8d89c07a6ef9b9062025-02-03T07:25:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018224725610.1155/S0161171285000278Function theory for a beltrami algebraB. A. Case0Department of Mathematics, The Florida State University, Tallahassee 32306, Florida, USAComplex functions are investigated which are solutions of an elliptic system of partial differential equations associated with a real parameter function. The functions f associated with a particualr parameter function g on a domain D form a Beltrami algebra denoted by the pair (D,g) and a function theory is developed in this algebra. A strong conformality property holds for all functions in a (D,g) algebra. For g≡|z|=r the algebra (D,r) is that of the analytic functions.http://dx.doi.org/10.1155/S0161171285000278elliptic system of partial differential equationsBeltrami algebradilation. |
| spellingShingle | B. A. Case Function theory for a beltrami algebra International Journal of Mathematics and Mathematical Sciences elliptic system of partial differential equations Beltrami algebra dilation. |
| title | Function theory for a beltrami algebra |
| title_full | Function theory for a beltrami algebra |
| title_fullStr | Function theory for a beltrami algebra |
| title_full_unstemmed | Function theory for a beltrami algebra |
| title_short | Function theory for a beltrami algebra |
| title_sort | function theory for a beltrami algebra |
| topic | elliptic system of partial differential equations Beltrami algebra dilation. |
| url | http://dx.doi.org/10.1155/S0161171285000278 |
| work_keys_str_mv | AT bacase functiontheoryforabeltramialgebra |