Teichmuller Space of a Countable Set of Points on the Riemann Sphere
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DOI: 10.2298/fil1701045t
Abstract: We introduce the Teichm\"uller space $T(E)$ of an ordered countable set $E$ of infinite number of distinct points on the Riemann sphere. We discuss the relation between the Teichm\"uller distance on $T(E)$ and a natural… read more here.
Keywords: teichmuller space; points riemann; space; riemann sphere ... See more keywords
Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral
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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