Where is the function $(\cos (z))^{1\over 2}$ analytic? In other words, where in the complex plane $\mathbb C$ is the above function's series representation convergent?
Convergence/Analyticity of a complex function
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complex-analysis
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0It depends on what you mean by $(\phantom z)^{1/2}$. – 2012-02-19
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0@DylanMoreland: What do you mean? Suppose I take the principal branch? – 2012-02-19