Question

An integral with the $\Gamma$ function: $\int_{c- i\infty}^{c+i\infty} u^{s}\:\Gamma(\beta +s-1) \:ds$

score 232 · Answer 1 · 2026-03-25 12:53:59

232

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An integral with the $\Gamma$ function: $\int_{c- i\infty}^{c+i\infty} u^{s}\:\Gamma(\beta +s-1) \:ds$

Published on 25 Mar 2026 - 12:53

score 476 · Answer 2 · 2026-03-25 11:10:09

476

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Cauchy's Residue Theorem with Multiple Gamma Functions

Published on 25 Mar 2026 - 11:10

score 308 · Answer 3 · 2026-03-25 14:26:48

308

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Evaluate Complex Integral with $\frac{\Gamma(\frac{s}{2})} {\Gamma\big({\beta +1\over 2} - {s\over 2}\big)}$

Published on 25 Mar 2026 - 14:26

score 152 · Answer 4 · 2026-03-25 11:16:33

152

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Cauchy's Residue Theorem for Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma \over x}\right)^s{{1-\beta^{s+1}}\over s(s+1)}\,ds$

Published on 25 Mar 2026 - 11:16

score 182 · Answer 5 · 2026-03-25 11:16:51

182

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Evaluate Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma\,x^{-1}}\right)^s{\Gamma(\beta_1-1+s)\over \Gamma(\beta_1+\beta_2-1+s)}\,ds$

Published on 25 Mar 2026 - 11:16

score 193 · Answer 6 · 2026-04-10 19:12:02

193

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Integration with Beta Function $\beta$

Published on 10 Apr 2026 - 19:12

score 77 · Answer 7 · 2026-03-25 11:13:40

77

Views

Cauchy P.V. Of an improper inegral

Published on 25 Mar 2026 - 11:13

score 276 · Answer 8 · 2026-03-25 16:00:15

276

Views

Proving an Integral with Cauchy Residue Theorem

Published on 25 Mar 2026 - 16:00

score 64 · Answer 9 · 2026-03-25 12:46:35

64

Views

Differentiating an integral understood as Cauchy Principal Value

Published on 25 Mar 2026 - 12:46

score 39 · Answer 10 · 2026-03-25 12:52:05

39

Views

$\int_{0}^{\pi/2}{\frac{dx}{a+\sin^2(x)}}$ for $|a|>1$

Published on 25 Mar 2026 - 12:52

score 161 · Answer 11 · 2026-03-25 11:16:49

161

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Compute the $PV\int_0^{\frac{π}{3}}\frac{\cos (4x)}{\cos (3x)}dx$

Published on 25 Mar 2026 - 11:16

score 169 · Answer 12 · 2026-03-25 19:04:40

169

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How to calculate principal value of this complex integral?

Published on 25 Mar 2026 - 19:04

score 39 · Answer 13 · 2026-04-10 21:01:06

39

Views

Distributional convergence of integrals

Published on 10 Apr 2026 - 21:01

score 49 · Answer 14 · 2026-03-25 11:10:49

49

Views

Cauchy Principal Value - nomenclature question

Published on 25 Mar 2026 - 11:10

score 124 · Answer 15 · 2026-03-25 11:16:22

124

Views

Principal value integral of $\frac{f(x)}{x}$ if f is continuous in [-1,1]

Published on 25 Mar 2026 - 11:16

List Question

An integral with the $\Gamma$ function: $\int_{c- i\infty}^{c+i\infty} u^{s}\:\Gamma(\beta +s-1) \:ds$

Cauchy's Residue Theorem with Multiple Gamma Functions

Evaluate Complex Integral with $\frac{\Gamma(\frac{s}{2})} {\Gamma\big({\beta +1\over 2} - {s\over 2}\big)}$

Cauchy's Residue Theorem for Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma \over x}\right)^s{{1-\beta^{s+1}}\over s(s+1)}\,ds$

Evaluate Integral $\int_{c\ -\ j\infty}^{c\ +\ j\infty} \left({\sigma\,x^{-1}}\right)^s{\Gamma(\beta_1-1+s)\over \Gamma(\beta_1+\beta_2-1+s)}\,ds$

Integration with Beta Function $\beta$

Cauchy P.V. Of an improper inegral

Proving an Integral with Cauchy Residue Theorem

Differentiating an integral understood as Cauchy Principal Value

$\int_{0}^{\pi/2}{\frac{dx}{a+\sin^2(x)}}$ for $|a|>1$

Compute the $PV\int_0^{\frac{π}{3}}\frac{\cos (4x)}{\cos (3x)}dx$

How to calculate principal value of this complex integral?

Distributional convergence of integrals

Cauchy Principal Value - nomenclature question

Principal value integral of $\frac{f(x)}{x}$ if f is continuous in [-1,1]

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