Generalized harmonic Koebe functions
Copyright policy )Generalized harmonic Koebe functions
We present a family of sense-preserving harmonic mappings in the unit disk related to the classical generalized (analytic) Koebe functions. We prove that these are precisely the mappings that maximize simultaneously the real part of every Taylor coefficient as well as the growth and distortion of functions in affine and linear invariant families of complex-valued harmonic functions.
Taylor coefficients, Matemáticas, Mathematics - Complex Variables, Matemática física y química, 31A05, 30C50, Serie de Taylor, General theory of univalent and multivalent functions of one complex variable, Koebe functions, 510, FOS: Mathematics, Complex Variables (math.CV), Harmonic, subharmonic, superharmonic functions in two dimensions, Funciones univalentes, harmonic functions
Taylor coefficients, Matemáticas, Mathematics - Complex Variables, Matemática física y química, 31A05, 30C50, Serie de Taylor, General theory of univalent and multivalent functions of one complex variable, Koebe functions, 510, FOS: Mathematics, Complex Variables (math.CV), Harmonic, subharmonic, superharmonic functions in two dimensions, Funciones univalentes, harmonic functions
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