User Mike

Mike

Member for 7 years, 6 months
Last seen more than a month ago

Michigan

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Dec 15, 2018
Notable Question

Oct 14
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Sep 7

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Jul 22, 2016
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Jul 21, 2016
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Dec 5, 2015

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Show that $f(z)=\sum_{n=0}^{\infty}z^{2^n}$ can't be analytically continued past the unit disk.

Apr 19, 2016

Find the number of zeros of $f(z)=e^{z-1}-az$ inside unit disk, assuming $\mid a \mid >1$

Dec 17, 2018

Show that $\int_{0}^{+\infty} \frac{\sin(x)}{x(x^2+1)} dx = \frac{\pi}{2}\left(1-\frac{1}{e}\right) $

Nov 18, 2015

Continuous and increasing on $[0,1]$ and absolutely continuous on $[\varepsilon,1] \forall \varepsilon >0 =>$ absolutely continuous on $[0,1]$?

Nov 23, 2015

Find the zeros of $h(z)=z^6-5z^4+3z^2-1$ within the unit disc - Verification

Apr 21, 2017

Is this an equivalent statement to the Fundamental Theorem of Algebra?

May 19, 2016

Codification of a formal language in set theory.

Mar 10, 2019

Sufficient conditions for a mobius transformation to map the unit circle to itself.

Mar 20, 2016

Is there a closed loop in the complex plane such that for any given integer $x$, I can find a point inside the loop that has winding number $x$?

May 17, 2016

Integrate $\int_C \frac{dz}{1+z^2}$ for (a) $\mid z - i\mid = 1$ and (b) $\mid z \mid =2$

Apr 22, 2017