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May
18
comment Computing real integrals using the Residue Theorem where singularities are on the real line
Ah yeah thank you, that was a mistake, I have edited accordingly
May
18
revised Computing real integrals using the Residue Theorem where singularities are on the real line
deleted 25 characters in body
May
18
asked Computing real integrals using the Residue Theorem where singularities are on the real line
May
17
comment Largest disc around which this complex function is one-to-one?
Could you give me some of the more common tricks?
May
17
asked Largest disc around which this complex function is one-to-one?
May
15
asked Corollary to mean value property for harmonic functions?
May
14
comment Computing $\int_0^{\pi\over2} \frac{dx}{1+\sin^2(x)}$?
WHOA! How did you get the first bit?
May
14
comment Computing $\int_0^{\pi\over2} \frac{dx}{1+\sin^2(x)}$?
how could one use residues? I can't seem to see where this function (if it were complex) has a pole!
May
14
asked Computing $\int_0^{\pi\over2} \frac{dx}{1+\sin^2(x)}$?
May
13
awarded Caucus
May
13
comment Proving that $\frac{\sigma_{n-1}}{\omega_n} = n$ in $\mathbb{R}^n$
could you expand?
May
13
asked Proving that $\frac{\sigma_{n-1}}{\omega_n} = n$ in $\mathbb{R}^n$
May
10
accepted Showing a sequence of analytic functions converges locally uniformly
May
10
comment Showing a sequence of analytic functions converges locally uniformly
Ok I see how that the identity theorem uses the fact that there is an accumulation point, but how we justify that if $\tilde f = f$ then this is a contradiction to (1)? Even if $f_{n_k}$ and $f_{n_j}$ are completely different sequences?
May
10
comment Showing a sequence of analytic functions converges locally uniformly
Thanks, I understand everything up to the part where $\tilde f |_D = f|_D$. How have we used the fact that $D$ has an accumulation point?
May
9
asked Using Montel's Theorem to show locally uniform convergence of analytic functions
May
9
asked Showing a sequence of analytic functions converges locally uniformly
May
6
asked Giving a Laurent series expansion - is it alright to have two $\sum$'s in the expansion?
May
2
comment Expanding an analytic function to a powerseries
how do you calculate what $a$ and $b$ are?
May
2
comment Expanding an analytic function to a powerseries
i can't get $1-z-z^2$ to factorise?
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