Articles with "conformal mappings" as a keyword



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Qualitative Results in the Bombieri Problem for Conformal Mappings

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Published in 2019 at "Lobachevskii Journal of Mathematics"

DOI: 10.1134/s1995080219090178

Abstract: Bombieri’s numbers σmn characterize a behavior of the coefficient body for the class S of all holomorphic and univalent functions f in the unit disk normalized by f(z) = z + a2z2 + …. The… read more here.

Keywords: results bombieri; bombieri problem; problem conformal; conformal mappings ... See more keywords
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Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral

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Published in 2017 at "Russian Mathematics"

DOI: 10.3103/s1066369x1707009x

Abstract: We propose a formula for the conformalmapping of the upper half-plane onto a polygonal domain, which generalizes the Schwarz–Christoffel equation. It is obtained by terms of partial solution to the Hilbert boundary-value problem with a… read more here.

Keywords: mappings onto; onto polygonal; countable set; conformal mappings ... See more keywords