Engineering topics
Publications and source records attributed to Bogatyrev, Andrei B.
A new effective approach to calculating the direct and inverse conformal mapping of rectangular polygons onto a half-plane is put forward; it is based on the use of Riemann theta functions. Bibliography: 14 titles.
An effective representation is obtained for rational functions all of whose critical points, apart from g-1, are simple and their corresponding critical values lie in a four-element set. Such functions are described using hyperelliptic curves of genus g{>=}1. The classical Zolotarev fraction arises in this framework for g=1. Bibliography: 8 titles.