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7h
comment Laurent series of $e^{e^{\frac{1}{z}}}$ around $z=0$
No need to delete it, just fix the very end.
7h
comment Laurent series of $e^{e^{\frac{1}{z}}}$ around $z=0$
What do you mean by "${} \to 0$" in your last line?
10h
comment Suppose $a \in \mathbb{C}$, $|a| < 1$, and $f(z) = \dfrac{z - a}{1 - \overline{a}z}$. How to prove dependence of $|f(z)|$ on $|z|$?
This has been asked and answered many times. Here are just a few few other relevant ones:first second third fourth. There are many more to be found.
11h
comment Determing the radius of convergence of the following power series.
A problem with your hint is that the ratio test works for positive series. You may want to take the limit of $|a_{n+1}|/|a_n|$ instead.
11h
reviewed Looks OK Utility of the Derivative of Laplace Transforms for ODE's
11h
revised Please could someone check my results for principal values of the complex logarithm?
added 82 characters in body
11h
answered Please could someone check my results for principal values of the complex logarithm?
Apr
24
answered Understanding Maximum Principle
Apr
23
comment Applying Cauchy Residue Theorem
Your $C$ is not closed.
Apr
22
answered Computing $\int_{\gamma}e^zdz$, where $\gamma$ is a particular semicircle
Apr
21
answered Prove equality of two numbers written in complex polar form.
Apr
21
answered Showing $f$ is a constant function
Apr
21
answered which of the following is/are true for the entire function $f$?
Apr
21
revised Do you have any good iOS app suggestions for taking notes?
Removed a number of completely irrelevant tags.
Apr
21
answered If $f(a+re^{it})\in \Bbb{R}$ for all $t\in \Bbb{R}$ then $f$ is constant.
Apr
20
comment Value of a function at Jump Discontinuitiy?
For most uses of the step function, the value at $t=0$ is irrelevant.
Apr
20
comment Show that f and e^f can not have a common pole
Thanks @GregMartin
Apr
20
comment Show that f and e^f can not have a common pole
A function $f$ has a pole at $z_0$ if and only if $\lim_{z\to z_0} |f(z)| = \infty$.
Apr
20
revised Show that f and e^f can not have a common pole
Cleaned up the formulas.
Apr
20
answered Show that f and e^f can not have a common pole