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dcholleton

Member for 10 years, 5 months
Last seen more than 4 years ago

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Top tag

algebra-precalculus

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500 Rep.

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Questions

View all 22 questions

4

How to show $\sin(x+iy)=\sin(x) \cosh(y) + i\cos(x) \sinh(y)$

Apr 14, 2014

3

Is there a simple and fast way of computing the residue at an essential singularity?

Apr 14, 2014

3

How to prove that $ \sum_{n=0}^\infty \frac{1}{(2n+1)^2} + \sum_{k=1}^\infty \frac{1}{(2k)^2}=\frac{4}{3} \sum_{n=0}^\infty \frac{1}{(2n+1)^2}$

May 31, 2014

2

How to compute residue of $f(z)=z^3e^{\frac{1}{z}}$?

May 29, 2014

2

I want to compute $\int_0^\infty \frac{x^t}{1+x^2}dx \; \forall t \in (-1,1)$ using residue theroem.

Apr 14, 2014

Answers

2

Factoring a fourth degree polynomial

Apr 13, 2014

1

Trigonometric equation problem.

Apr 14, 2014

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algebra-precalculus

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posts

trigonometry

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post

complex-analysis

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15

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analysis

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11

posts

residue-calculus

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4

posts

Reputation

+20

How to show $\sin(x+iy)=\sin(x) \cosh(y) + i\cos(x) \sinh(y)$

+10

How to compute residue of $f(z)=z^3e^{\frac{1}{z}}$?

+20

How to prove that $ \sum_{n=0}^\infty \frac{1}{(2n+1)^2} + \sum_{k=1}^\infty \frac{1}{(2k)^2}=\frac{4}{3} \sum_{n=0}^\infty \frac{1}{(2n+1)^2}$

+10

Proving continuity of $f(x) = \sum_{n=0}^\infty \frac{1}{1+x^n} \quad x\in\;]1,\infty[$

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