Browsing by Subject "Bergman kernel function"
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Article
Asymptotic behaviour of zeros of Bieberbach polynomials
(1991)Let Ω be a simply-connected domain in the complex plane and let πn denote the nth-degree Bieberbach polynomial approximation to the conformal map f of Ω onto a disc. In this paper we investigate the asymptotic behaviour ...
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Article
The determination of the poles of the mapping function and their use in numerical conformal mapping
(1983)Let f{hook} be the function which maps conformally a simply-connected domain Ω onto the unit disc. This paper is concerned with the problem of determining the dominant poles of f{hook} in compl(Ω ∪ ∂ Ω), and of using this ...
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Article
Local behaviour of the error in the Bergman kernel method for numerical conformal mapping
(1993)Let Ω be a simply-connected domain in the complex plane, let ζ ε{lunate} Ω and let K(z, ζ) denote the Bergman kernel function of Ω with respect to ζ. Also, let Kn(z, ζ) denote the nth-degree polynomial approximation to ...