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Seminar on Complex Analysis (Gonchar Seminar)
February 4, 2013 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
 


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.

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