2023
DOI: 10.1007/s40819-023-01529-z
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The Approximate Conformal Mapping of a Disk onto Domain with an Acute Angle

Abstract: The method of boundary curve reparametrization is applied to construction of the approximate analytical conformal mapping of the unit disk onto an arbitrary given finite domain with a boundary smooth at every point but fininte number of acute angle points. The method is based on both the Fredholm equation solution and spline-interpolation. This approach consists of approximate solution of a linear system with unknown Fourier coefficients and construction of correction splines. The approximate mapping function … Show more

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