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ArticleOriginal scientific text

Title

Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

Authors 1

Affiliations

  1. Institute of Mathematics, Pedagogical University, Arciszewskiego 22b, 76-200 Slupsk, Poland

Abstract

The conformal mapping ω(z) of a domain D onto the unit disc must satisfy the condition |ω(t)| = 1 on ∂D, the boundary of D. The last condition can be considered as a Dirichlet problem for the domain D. In the present paper this problem is reduced to a system of functional equations when ∂D is a circular polygon with zero angles. The mapping is given in terms of a Poincaré series.

Keywords

ENG
conformal mapping, boundary value problem, functional equation

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Annales Polonici Mathematici
1998/68/3
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Pages:
227-236
Main language of publication
English
Received
1997-02-24
Published
1998
Exact and natural sciences