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21h
revised Infinite product include summation
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23h
revised Infinite product include summation
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1d
revised What is the asymptotic behavior of this integral?
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1d
revised What is the asymptotic behavior of this integral?
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1d
answered What is the asymptotic behavior of this integral?
1d
revised Infinite product include summation
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1d
revised Infinite product include summation
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1d
answered Infinite product include summation
2d
revised An integral related with the Riemann $\zeta$ function
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2d
answered An integral related with the Riemann $\zeta$ function
Apr
26
revised Calculate $\int_0^{\infty}\frac{1}{(x+1)(x-2)}dx$ using residues
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Apr
26
revised Calculate $\int_0^{\infty}\frac{1}{(x+1)(x-2)}dx$ using residues
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Apr
26
answered Calculate $\int_0^{\infty}\frac{1}{(x+1)(x-2)}dx$ using residues
Apr
22
comment Estimating a contour integral which includes the riemann zeta function
My guess - and I stress, this is a guess, so please take this with many grains of salt - is that there is a branch point singularity at $s=1$. Thus, what you might want to do is introduce a Bromwich contour that respects a branch cut along the part of the real axis where $\operatorname{Re}{z} \lt 1$.
Apr
21
comment Using residue theorem to integrate from $-\infty$ to $\infty$
Yes, this is kosher. Check that you are correct.
Apr
18
answered Can someone help me integrate this function?
Apr
18
answered Developing a Process for Contour Integration
Apr
17
awarded  Good Answer
Apr
12
answered Compute $\frac{1^2 t}{1!}+\frac{2^2 t^2}{3!}+\frac{3^2 t^3}{5!}+\frac{4^2 t^4}{7!}+\ldots+\frac{n^2 t^n}{(2n-1)!}+\ldots$
Apr
11
answered Definite Integral $\int_0^1 \left \{\frac{1}{x^\frac{1}{6}} \right\}\, dx$