Harmonic Mappings in the Plane
Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions rema…
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Produktdetails
- ISBN: 978-0-511-18961-6
- EAN: 9780511189616
- Produktnummer: 13805629
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2004
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 1'419 KB
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