Question

How to solve the recursive equation $y^{(n+2)} +(n+1)y^{(n+1)} +\tfrac{n(n+1)}{2} y^{(n)}=0$

score 171 · Answer 1 · 2026-04-15 21:48:45

171

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How to solve the recursive equation $y^{(n+2)} +(n+1)y^{(n+1)} +\tfrac{n(n+1)}{2} y^{(n)}=0$

Published on 15 Apr 2026 - 21:48

score 65 · Answer 2 · 2026-04-13 21:12:47

65

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A function is 0 if is almost bounded

Published on 13 Apr 2026 - 21:12

score 989 · Answer 3 · 2026-05-10 18:03:40

989

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Is the Lambert W function analytic? If not everywhere then on what set is it analytic?

Published on 10 May 2026 - 18:03

score 151 · Answer 4 · 2026-05-10 18:30:53

151

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Complex line integrals

Published on 10 May 2026 - 18:30

score 120 · Answer 5 · 2026-04-14 19:14:36

120

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Why is it that for a hamonic $u$, $\int_{\gamma}*du = 0$ for any cycle $\gamma$ then $u$ has a harmonic function there?

Published on 14 Apr 2026 - 19:14

score 100 · Answer 6 · 2026-04-16 00:20:56

100

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$f$ is an entire function s.t $|f(z)|=1$ $\forall z \in \Bbb R$. prove that $f$ has no zeros in $\Bbb C$

Published on 16 Apr 2026 - 0:20

score 336 · Answer 7 · 2026-04-16 08:57:22

336

Views

Why is $\frac{\partial \bar f }{\partial z} = 0$ for an analytic function $f$?

Published on 16 Apr 2026 - 8:57

score 43 · Answer 8 · 2026-05-11 05:43:25

43

Views

Singularity of $\frac{z+2}{e^{\frac{1}{(z+2)^2}}}$

Published on 11 May 2026 - 5:43

score 3.1k · Answer 9 · 2026-04-15 22:01:19

3.1k

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Analytic functions having harmonic real and imaginary parts.

Published on 15 Apr 2026 - 22:01

score 36 · Answer 10 · 2026-04-11 06:15:06

36

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Does f(z) have a continous branch of logarithm on this set

Published on 11 Apr 2026 - 6:15

score 58 · Answer 11 · 2026-04-11 06:31:07

58

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Is there a continous branch in the neighbourhood of 0

Published on 11 Apr 2026 - 6:31

score 376 · Answer 12 · 2026-05-10 17:02:21

376

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Cauchy-Riemann equations for $z=x+iy$ and $f(z)=R(x,y)e^{i\theta(x,y)}$

Published on 10 May 2026 - 17:02

score 82 · Answer 13 · 2026-04-17 10:53:09

If $f$ is $\mathbb R^2$-differentiable and the limit $\lim\limits_{h \to 0} \Re\left(\frac{f(z+h)-f(z)}{h}\right)$ exists, then $f$ is holomorphic?

score 3.9k · Answer 14 · 2026-04-14 22:42:51

3.9k

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Proof that, if $f$ and $|f|$ are analytic, then $f$ is constant

Published on 14 Apr 2026 - 22:42

score 79 · Answer 15 · 2026-04-15 06:34:59

79

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Textbook Proposition on Quotient of Real Analytic Functions

Published on 15 Apr 2026 - 6:34

List Question

How to solve the recursive equation $y^{(n+2)} +(n+1)y^{(n+1)} +\tfrac{n(n+1)}{2} y^{(n)}=0$

A function is 0 if is almost bounded

Is the Lambert W function analytic? If not everywhere then on what set is it analytic?

Complex line integrals

Why is it that for a hamonic $u$, $\int_{\gamma}*du = 0$ for any cycle $\gamma$ then $u$ has a harmonic function there?

$f$ is an entire function s.t $|f(z)|=1$ $\forall z \in \Bbb R$. prove that $f$ has no zeros in $\Bbb C$

Why is $\frac{\partial \bar f }{\partial z} = 0$ for an analytic function $f$?

Singularity of $\frac{z+2}{e^{\frac{1}{(z+2)^2}}}$

Analytic functions having harmonic real and imaginary parts.

Does f(z) have a continous branch of logarithm on this set

Is there a continous branch in the neighbourhood of 0

Cauchy-Riemann equations for $z=x+iy$ and $f(z)=R(x,y)e^{i\theta(x,y)}$

If $f$ is $\mathbb R^2$-differentiable and the limit $\lim\limits_{h \to 0} \Re\left(\frac{f(z+h)-f(z)}{h}\right)$ exists, then $f$ is holomorphic?

Proof that, if $f$ and $|f|$ are analytic, then $f$ is constant

Textbook Proposition on Quotient of Real Analytic Functions

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