Question

A Fractional-Power Generalization for the Boundary Asymptotics of the Cauchy Transform of a Measure?

score 34 · Answer 1 · 2026-04-12 22:52:30

34

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A Fractional-Power Generalization for the Boundary Asymptotics of the Cauchy Transform of a Measure?

Published on 12 Apr 2026 - 22:52

score 158 · Answer 2 · 2026-04-15 12:01:54

158

Views

How to deal with the essential singularity when evaluating $\oint_{C} \cosh{\left( \frac{z}{z-2}\right)} \frac{z}{z^2 + 9}dz$

Published on 15 Apr 2026 - 12:01

score 46 · Answer 3 · 2026-04-14 14:27:59

46

Views

The Cauchy Transform, Compact Convergence on the Disk, and Weak Convergence in $L^{p}$

Published on 14 Apr 2026 - 14:27

score 25 · Answer 4 · 2026-04-10 17:40:01

25

Views

Identity with moduli for a holomorphic function on a disc

Published on 10 Apr 2026 - 17:40

score 53 · Answer 5 · 2026-04-10 04:32:11

53

Views

Evaluation of a complex integral on a closed path

Published on 10 Apr 2026 - 4:32

score 50 · Answer 6 · 2026-04-15 07:24:23

50

Views

Assume $x\in \mathbb{R}$. Is this change of variables valid: $y=x^{\frac{1}{m}}$?

Published on 15 Apr 2026 - 7:24

score 35 · Answer 7 · 2026-04-10 21:37:56

35

Views

A simple issue with contour integration

Published on 10 Apr 2026 - 21:37

score 281 · Answer 8 · 2026-04-12 01:07:11

281

Views

Function on a star domain has a primitive

Published on 12 Apr 2026 - 1:07

score 65 · Answer 9 · 2026-04-14 04:15:52

65

Views

Simple question on full differentials:

Published on 14 Apr 2026 - 4:15

score 101 · Answer 10 · 2026-04-10 14:33:16

101

Views

Help w/ Proof That's Using Contour Integration

Published on 10 Apr 2026 - 14:33

score 268 · Answer 11 · 2026-04-09 06:05:04

268

Views

How do I calculate the double integral of a Hankel function?

Published on 09 Apr 2026 - 6:05

score 93 · Answer 12 · 2026-04-17 03:57:56

93

Views

Showing $\int_{-\infty}^{\infty}\frac{x^3\sin{x}\;dx}{x^4+5x^2+4} = \frac{(4-e)\pi}{3e^2}$ via contour integration

Published on 17 Apr 2026 - 3:57

score 85 · Answer 13 · 2026-04-17 01:52:23

85

Views

$I = \int_0^\infty y^2 [ (y^2 +1)/\sqrt{y^4 + 2 y^2 } - 1] dy$

Published on 17 Apr 2026 - 1:52

score 136 · Answer 14 · 2026-04-12 11:25:31

136

Views

How to calculate this integral: $\int_{C}{} (z^2-2z) dz$ where $C$ is a line segment starting at $1$ and ending in $i$

Published on 12 Apr 2026 - 11:25

score 87 · Answer 15 · 2026-04-13 08:43:35

87

Views

How to calculate $\int_{C}{}\frac{\bar{z}}{z+i} dz$ if $C$ is a circle: $|z+i|=3$?

Published on 13 Apr 2026 - 8:43

List Question

A Fractional-Power Generalization for the Boundary Asymptotics of the Cauchy Transform of a Measure?

How to deal with the essential singularity when evaluating $\oint_{C} \cosh{\left( \frac{z}{z-2}\right)} \frac{z}{z^2 + 9}dz$

The Cauchy Transform, Compact Convergence on the Disk, and Weak Convergence in $L^{p}$

Identity with moduli for a holomorphic function on a disc

Evaluation of a complex integral on a closed path

Assume $x\in \mathbb{R}$. Is this change of variables valid: $y=x^{\frac{1}{m}}$?

A simple issue with contour integration

Function on a star domain has a primitive

Simple question on full differentials:

Help w/ Proof That's Using Contour Integration

How do I calculate the double integral of a Hankel function?

Showing $\int_{-\infty}^{\infty}\frac{x^3\sin{x}\;dx}{x^4+5x^2+4} = \frac{(4-e)\pi}{3e^2}$ via contour integration

$I = \int_0^\infty y^2 [ (y^2 +1)/\sqrt{y^4 + 2 y^2 } - 1] dy$

How to calculate this integral: $\int_{C}{} (z^2-2z) dz$ where $C$ is a line segment starting at $1$ and ending in $i$

How to calculate $\int_{C}{}\frac{\bar{z}}{z+i} dz$ if $C$ is a circle: $|z+i|=3$?

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