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How can I find all holomorphic functions $f:\mathbb C \to \mathbb C$ having $f=u+iv$ with $v(x,y)=u^2(x,y)$
complex-analysis
harmonic-functions
analytic-functions
cauchy-riemann-equations
Pointwise Cauchy-Riemann equations suffice?
complex-analysis
cauchy-riemann-equations
Is there any connection between Green's Theorem and the Cauchy-Riemann equations?
complex-analysis
multivariable-calculus
greens-theorem
cauchy-riemann-equations
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