lithium barbie doll

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it's the final countdownnnnn nanananaaa nananananaaa

	1,296 reputation	bio	website		visits	member for	1 year, 2 months
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Apr 23	asked	Determining an Analytic Function from its Real Part
Apr 22	comment	Show bounded harmonic function on $\mathbb{C}$ is constant. but how do we know that f is bounded? Only its real part is necessarily bounded.
Apr 22	revised	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$ added 1 characters in body
Apr 22	comment	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$ I agree, the integral always equaling the conjugate of f at a single point is for me a very counterintuitive.
Apr 22	revised	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$ added 65 characters in body
Apr 22	answered	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$
Apr 22	comment	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$ You're right, my professor may have forgotten to stipulate that z be in the unit circle, since if it is I think I came up with a proof by expanding f as a power series centered at zero.
Apr 22	asked	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$
Apr 21	comment	Can someone check my work on this integral? log\|z\| has a singularity at zero, thus it's not holomorphic in a neighborhood containing our curve.
Apr 21	accepted	Can someone check my work on this integral?
Apr 21	comment	Can someone check my work on this integral? Ok cool, thanks anon.
Apr 21	asked	Can someone check my work on this integral?
Apr 21	accepted	A few Questions about Harmonic Functions
Apr 21	comment	A few Questions about Harmonic Functions Ok thanks Thomas, I'll take a look at this.
Apr 21	asked	A few Questions about Harmonic Functions
Apr 21	accepted	The Integral of a Harmonic Function
Apr 21	comment	The Integral of a Harmonic Function Great, thanks for the detailed response Zarrax! +1.
Apr 21	comment	The Integral of a Harmonic Function Can you expand on this? Are you saying that the problem as stated is incorrect, and that I should switch the inequalities? Because that would make a lot more sense.
Apr 21	asked	The Integral of a Harmonic Function
Apr 20	comment	Show bounded harmonic function on $\mathbb{C}$ is constant. Are harmonic functions automatically analytic in $\mathbb{C}$? I was under the impression that they only necessarily have continuous partial derivatives satisfying the Laplacian.