Question

Characterization of spherical harmonics.

score 55 · Answer 1 · 2026-03-26 12:34:07

55

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Characterization of spherical harmonics.

Published on 26 Mar 2026 - 12:34

score 103 · Answer 2 · 2026-03-27 21:05:31

103

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Check a function is harmonic

Published on 27 Mar 2026 - 21:05

score 818 · Answer 3 · 2026-03-31 09:24:06

818

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Evaluating Solution to Laplace's Equation at Centre of Square

Published on 31 Mar 2026 - 9:24

score 158 · Answer 4 · 2017-04-22 23:38:49

158

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Characterization of harmonic functions as a gravitational potential

Published on 22 Apr 2017 - 23:38

score 153 · Answer 5 · 2026-03-26 00:54:02

153

Views

Showing that $\Phi=\frac1{4\pi\epsilon_0}\int_{r>a}\frac{\rho_1(\mathbf{x})}r\operatorname{dV}$ for potential $\Phi$ and density $\rho_1$

Published on 26 Mar 2026 - 0:54

score 987 · Answer 6 · 2017-04-23 22:16:04

987

Views

Strong Maximum Principle proof (for harmonic functions in the plane)

Published on 23 Apr 2017 - 22:16

score 1.3k · Answer 7 · 2026-03-31 11:36:45

1.3k

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2D Heat Transfer Laplacian with Neumann, Robin, and Dirichlet Conditions on a semi-infinite slab

Published on 31 Mar 2026 - 11:36

score 799 · Answer 8 · 2026-03-28 04:52:14

799

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Green function's in a $N$-sphere

Published on 28 Mar 2026 - 4:52

score 26 · Answer 9 · 2017-05-01 21:13:08

26

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Calculate the values of t for which the harmonic oscillator function $e^{-ft}y\sin ω t$ has a minimum...

Published on 01 May 2017 - 21:13

score 495 · Answer 10 · 2017-05-05 01:18:33

495

Views

Showing that $f(z) = \frac{1}{2 \pi}\int_{0}^{2 \pi}f(Re^{i \phi})Re\left(\frac{re^{i \phi}+z}{re^{i \phi} - z}\right)d \phi$ via Complex Analysis?

Published on 05 May 2017 - 1:18

score 384 · Answer 11 · 2026-03-31 22:42:34

384

Views

Mean value type property

Published on 31 Mar 2026 - 22:42

score 135 · Answer 12 · 2017-05-07 20:37:59

135

Views

function holomorphic on an annulus with real part bounded by z at infinity reduces has limit

Published on 07 May 2017 - 20:37

score 683 · Answer 13 · 2017-05-09 02:01:28

683

Views

Find all harmonic functions $u(x,y)$ in the unit disk $x^2+y^2<1$ such that $u_y=0$ for $x^2+y^2<1$.

Published on 09 May 2017 - 2:01

score 172 · Answer 14 · 2026-03-29 14:07:17

172

Views

Little Picard theorem - some inequality in the proof in Ransford's book

Published on 29 Mar 2026 - 14:07

score 33 · Answer 15 · 2017-05-13 23:29:02

33

Views

Natural processes are superpositions of harmonics?

Published on 13 May 2017 - 23:29

List Question

Characterization of spherical harmonics.

Check a function is harmonic

Evaluating Solution to Laplace's Equation at Centre of Square

Characterization of harmonic functions as a gravitational potential

Showing that $\Phi=\frac1{4\pi\epsilon_0}\int_{r>a}\frac{\rho_1(\mathbf{x})}r\operatorname{dV}$ for potential $\Phi$ and density $\rho_1$

Strong Maximum Principle proof (for harmonic functions in the plane)

2D Heat Transfer Laplacian with Neumann, Robin, and Dirichlet Conditions on a semi-infinite slab

Green function's in a $N$-sphere

Calculate the values of t for which the harmonic oscillator function $e^{-ft}y\sin ω t$ has a minimum...

Showing that $f(z) = \frac{1}{2 \pi}\int_{0}^{2 \pi}f(Re^{i \phi})Re\left(\frac{re^{i \phi}+z}{re^{i \phi} - z}\right)d \phi$ via Complex Analysis?

Mean value type property

function holomorphic on an annulus with real part bounded by z at infinity reduces has limit

Find all harmonic functions $u(x,y)$ in the unit disk $x^2+y^2<1$ such that $u_y=0$ for $x^2+y^2<1$.

Little Picard theorem - some inequality in the proof in Ransford's book

Natural processes are superpositions of harmonics?

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