International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1985 / Article

Open Access

Volume 8 |Article ID 121858 | https://doi.org/10.1155/S0161171285000278

B. A. Case, "Function theory for a beltrami algebra", International Journal of Mathematics and Mathematical Sciences, vol. 8, Article ID 121858, 10 pages, 1985. https://doi.org/10.1155/S0161171285000278

Function theory for a beltrami algebra

Received16 Jul 1984

Abstract

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.

Copyright © 1985 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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