The Modular Function and Geometric Properties of Quasiconformal Mappings

L. V. Ahlfors
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L. V. Ahlfors: Harvard University, Department of Mathematics

A chapter in Proceedings of the Conference on Complex Analysis, 1965, pp 296-300 from Springer

Abstract: Abstract We recall the familiar notations $$ e_1 = \wp \left( {\frac{{\omega _1 }} {2}} \right),\,e_2 = \wp \left( {\frac{{\omega _2 }} {2}} \right),\,e_3 = \wp \left( {\frac{{\omega _1 + \omega _2 }} {2}} \right) $$ associated with Weierstrass’ γ-function. The period ratio τ = ω 2/ω 1 is always assumed to have positive imaginary part.

Keywords: Half Plane; Equilateral Triangle; Quasiconformal Mapping; Modular Function; Extremal Length (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-48016-4_25

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