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Doubly Periodic Riemann Boundary Value Problem of Non-Normal Type for Analytic Functions on Two Parallel Curves
School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China
School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China
- 1 School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China
- 2 School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China
Advances in Pure Mathematics·Volume 05 (2015)·Pages 51–58·Published 12 January 2015·DOI10.4236/apm.2015.51006
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Abstract
In this paper, we present and study a kind of Riemann boundary value problem of non-normal type for analytic functions on two parallel curves. Making use of the method of complex functions, we give the method for solving this kind of doubly periodic Riemann boundary value problem of non-normal type and obtain the explicit expressions of solutions and the solvable conditions for it.
KeywordsDoubly PeriodicHolder Continuous FunctionsRiemann Boundary ProblemNon-Normal Type
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