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SEMINARS |
Seminar on Complex Analysis (Gonchar Seminar)
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Genus three theta functions and conformal mapping of rectangular polygons A. B. Bogatyrev Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow |
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Abstract: For simply connected polygons with eight straight and several zero angles we give a representation of their conformal mapping to the half-plane and back in terms of theta functions. This allows us to calculate both maps with computer accuracy uniformly in the domain. |