List questions from complex-integration

Published on 10 May 2013 - 18:48

38

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$ g(u;s_1,s_2)=\int_{(\alpha+\beta)^{-1}}^{\alpha+\beta}b^{s_2}(u^2-b)^{-\dfrac{s_1+s_2}{2}}(u^2b-1)^{-\dfrac{s_1+s_2}{2}} \mathrm {d}b$

Published on 27 May 2013 - 6:09

520

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Evaluate this integral without using the residue theorem

Published on 27 May 2013 - 17:25

227

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How do you integrate $\int_0^\infty \exp(it^k)\,\mathrm dt$ for $k \in \Bbb N$?

Published on 17 Jun 2013 - 7:58

225

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Integral of $te^{-i\omega t}$ and Fubini's Theorem

Published on 22 Jun 2013 - 8:45

1.1k

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Complex Analysis: Fundamental Theorem of Calculus

Published on 13 Jul 2013 - 3:19

11k

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Integrate complex conjugate

Published on 17 Jul 2013 - 13:43

878

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Intuitive reason for why many complex integrals vanish when the path is "blown-up"?

Published on 25 Jul 2013 - 13:32

428

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Complex integration problem

Published on 19 Sep 2013 - 10:58

109

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Change of variable x=iy in improper integral

Published on 20 Sep 2013 - 10:14

144

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The substitution $y = ix$

Published on 21 Sep 2013 - 10:25

175

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How to calculate this complex integral $\int_0^\infty \frac{1}{q+i}e^{-(q+b)^2}\text{d}q$? (Please Help)

Published on 21 Sep 2013 - 16:03

378

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Complex integral using residue theorem

Published on 23 Sep 2013 - 6:47

159

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Does $\int_a^b f'(\gamma(t))\gamma'(t)\,dt$ depend on the path for meromorphic functions?

Published on 29 Sep 2013 - 20:47

320

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A taylor series for an integral with a singularity

Published on 30 Sep 2013 - 12:45

List Question

Change of variables in a complex integral $\int_C^\ \frac{4z} {z^4 +6z^2 +1} dz$

$ g(u;s_1,s_2)=\int_{(\alpha+\beta)^{-1}}^{\alpha+\beta}b^{s_2}(u^2-b)^{-\dfrac{s_1+s_2}{2}}(u^2b-1)^{-\dfrac{s_1+s_2}{2}} \mathrm {d}b$

Evaluate this integral without using the residue theorem

How do you integrate $\int_0^\infty \exp(it^k)\,\mathrm dt$ for $k \in \Bbb N$?

Integral of $te^{-i\omega t}$ and Fubini's Theorem

Complex Analysis: Fundamental Theorem of Calculus

Integrate complex conjugate

Intuitive reason for why many complex integrals vanish when the path is "blown-up"?

Complex integration problem

Change of variable x=iy in improper integral

The substitution $y = ix$

How to calculate this complex integral $\int_0^\infty \frac{1}{q+i}e^{-(q+b)^2}\text{d}q$? (Please Help)

Complex integral using residue theorem

Does $\int_a^b f'(\gamma(t))\gamma'(t)\,dt$ depend on the path for meromorphic functions?

A taylor series for an integral with a singularity

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