Conformal Mappings

Prem K. Kythe
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Prem K. Kythe: University of New Orleans, Department of Mathematics

Chapter Chapter 2 in Computational Conformal Mapping, 1998, pp 41-67 from Springer

Abstract: Abstract The central problem in the theory of conformal mapping is determining a function f which maps a given region D ⊂ ℂ conformally onto another region G ⊂ ℂ. The function f does not always exists, and it is not always uniquely determined. The Riemann mapping theorem (§1.4) guarantees the existence and uniqueness of a conformal map of D onto the unit disk U under certain specific conditions. Besides some elementary mappings we shall study linear, bilinear, and Schwarz—Christoffel transformations.

Keywords: Conformal Mapping; Jacobian Elliptic Function; Interior Angle; Polygonal Line; Schwarzian Derivative (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4612-2002-2_3

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