Riemann–Hilbert-type Boundary Value Problems on a Half Hexagon

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作者
Mohamed AKEL [1 ,2 ]
Fatimah ALABBAD [2 ]
机构
[1] Mathematics Department, Faculty of Science, South Valley University
[2] Mathematics Department, Collage of Science, King Faisal
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O175.8 [边值问题];
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摘要
In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann–Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are obtained. The boundary behavior of these operators is discussed.Finally, we investigate the Schwarz problem and the Riemann–Hilbert problem for inhomogeneous Cauchy–Riemann equations.
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页码:1249 / 1266
页数:18
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