Indicator function (complex analysis): Difference between revisions

Revision as of 22:45, 5 March 2022

Revision as of 06:08, 2 April 2022

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==Examples==

Elementary calculations show, that, if <math>f(z)=e^{(A+iB)z^\rho}</math>, then <math>|f(re^{i\theta})|=e^{Ar^\rho\cos(\rho\theta)-Br^\rho\sin(\rho\theta)}</math>. Thus,<ref name="Levin2" />{{rp|52}}

:<math>h_f(\theta)=A\cos(\rho\theta)-B\sin(\rho\theta).</math>