Question

How to estimate the number of roots and their multiplicity in some interval when polynomial has fractional powers?

score 365 · Answer 1 · 2026-04-15 12:02:20

365

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How to estimate the number of roots and their multiplicity in some interval when polynomial has fractional powers?

Published on 15 Apr 2026 - 12:02

score 1.7k · Answer 2 · 2026-04-09 19:45:44

1.7k

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Complex Analysis Book: Conway vs Lang

Published on 09 Apr 2026 - 19:45

score 65 · Answer 3 · 2026-04-13 20:57:53

65

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$\exists \enspace c \in \mathbb{C} : f(z) = cg(z)$

Published on 13 Apr 2026 - 20:57

score 243 · Answer 4 · 2026-04-11 04:22:30

243

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Real power series absolutely converges. Does complex series converge too?

Published on 11 Apr 2026 - 4:22

score 405 · Answer 5 · 2026-04-14 09:48:18

405

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Guidance on reducing this Meijer-G function

Published on 14 Apr 2026 - 9:48

score 100 · Answer 6 · 2026-04-13 18:57:13

100

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Paley-Wiener and Riemann-Lesbegue lemma measuring regularity/smoothness of a function on $\mathbb{R}$

Published on 13 Apr 2026 - 18:57

score 747 · Answer 7 · 2026-04-13 05:11:12

747

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Uniqueness theorem for analytic function defined on $\mathbb{R}^n$

Published on 13 Apr 2026 - 5:11

score 4.2k · Answer 8 · 2026-04-16 15:09:44

4.2k

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Finding region where $f(z)=e^{-x}\cos(y) -ie^{-x}\sin(y)$ is analytic

Published on 16 Apr 2026 - 15:09

score 155 · Answer 9 · 2026-04-14 16:30:12

155

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Let $0$ be an isolated singularity of $f$. Prove that if $|f(z)|\leq |z|^{-\alpha}$, this singularity is removable.

Published on 14 Apr 2026 - 16:30

score 196 · Answer 10 · 2026-04-14 14:53:35

196

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Let $f$ be holomorphic on $\mathbb{D}=\{z\in\mathbb{C} | |z|\leq 1\}$. Prove the following.

Published on 14 Apr 2026 - 14:53

score 58 · Answer 11 · 2026-04-09 22:00:09

58

Views

Inequality with complex number

Published on 09 Apr 2026 - 22:00

score 342 · Answer 12 · 2026-03-27 09:53:13

342

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on several complex variables on a ball

Published on 27 Mar 2026 - 9:53

score 506 · Answer 13 · 2026-04-12 23:48:37

506

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Cauchy's principal part equation

Published on 12 Apr 2026 - 23:48

score 112 · Answer 14 · 2026-04-10 20:14:25

112

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Question on the proof $\int_0^\infty \frac{\sin(at)}{t}dt=\frac{\pi}{2} \operatorname{sgn}(a)$.

Published on 10 Apr 2026 - 20:14

score 189 · Answer 15 · 2026-04-12 20:55:02

189

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The ordinary generating function for the square-free kernel: reference request about singularities and its phase plot

Published on 12 Apr 2026 - 20:55

List Question

How to estimate the number of roots and their multiplicity in some interval when polynomial has fractional powers?

Complex Analysis Book: Conway vs Lang

$\exists \enspace c \in \mathbb{C} : f(z) = cg(z)$

Real power series absolutely converges. Does complex series converge too?

Guidance on reducing this Meijer-G function

Paley-Wiener and Riemann-Lesbegue lemma measuring regularity/smoothness of a function on $\mathbb{R}$

Uniqueness theorem for analytic function defined on $\mathbb{R}^n$

Finding region where $f(z)=e^{-x}\cos(y) -ie^{-x}\sin(y)$ is analytic

Let $0$ be an isolated singularity of $f$. Prove that if $|f(z)|\leq |z|^{-\alpha}$, this singularity is removable.

Let $f$ be holomorphic on $\mathbb{D}=\{z\in\mathbb{C} | |z|\leq 1\}$. Prove the following.

Inequality with complex number

on several complex variables on a ball

Cauchy's principal part equation

Question on the proof $\int_0^\infty \frac{\sin(at)}{t}dt=\frac{\pi}{2} \operatorname{sgn}(a)$.

The ordinary generating function for the square-free kernel: reference request about singularities and its phase plot

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