Positive harmonic function: Difference between revisions

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Carathéodory's positivity criterion for holomorphic functions: Coefficients in the taylor series of f are not the same like covariance coefficients a / fourier coefficients respektive....that was very misleading
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Let
 
:<math> f(z)=1 + a_1b_1 z + a_2b_2 z^2 + \cdots</math>
 
be a holomorphic function on the unit disk. Then ''f''(''z'') has positive real part on the disk