The approximate conformal mapping of a disk onto domain with an acute angle

• DOI: 10.48550/arxiv.2307.03516
• Publication Date: 2023-01-01
• Authors: Pyotr N. Ivanshin; Elena A. Shirokova
• Keywords: Unit disk; Interpolation

The method of boundary curve reparametrization is applied to construction the approximate analytical conformal mapping unit disk onto an arbitrary given finite domain with a smooth at every point but fininte number acute angle points. based on both Fredholm equation solution and spline-interpolation. This approach consists linear system unknown Fourier coefficients correction splines. function has form Cauchy integral. presentation supported by demonstration some examples. applicable case multiply connected domains