Harmonic Mappings in the Plane (Cambridge Tracts in Mathematics)

by Peter Duren

2004 224 pages eng

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 diff…