Question

When does a power series decay at infinity?

score 214 · Answer 1 · 2026-03-29 12:04:02

214

Views

When does a power series decay at infinity?

Published on 29 Mar 2026 - 12:04

score 1.8k · Answer 2 · 2026-03-29 12:11:16

1.8k

Views

For every analytic function $f$ on $G$ (simply connected,open) s.t $f(z) \neq 0, \forall z \in G$, then $\exists$ g analytic in $G$ s.t $g^2 = f$

Published on 29 Mar 2026 - 12:11

score 382 · Answer 3 · 2026-03-29 12:11:24

382

Views

If $f$ analytic in $G$ and $\exists \lambda >0$, $|f(z)| = \lambda, \forall z \in \partial G \Rightarrow \exists z, f(z) = 0$

Published on 29 Mar 2026 - 12:11

score 1.5k · Answer 4 · 2017-08-28 19:17:36

1.5k

Views

Is the function $f(z)= \sqrt{xy}$ analytic??

Published on 28 Aug 2017 - 19:17

score 971 · Answer 5 · 2026-03-29 14:20:12

971

Views

Analyticity of solutions of a second order elliptic PDE with smooth coefficients.

Published on 29 Mar 2026 - 14:20

score 64 · Answer 6 · 2017-08-31 19:07:20

64

Views

What is the number of analytic functions with certain fixed points on a domain?

Published on 31 Aug 2017 - 19:07

score 1.4k · Answer 7 · 2026-03-28 18:16:07

1.4k

Views

Is $z^3 cot(z)$ analytic inside the unit circle ($z \in C$)?

Published on 28 Mar 2026 - 18:16

score 3k · Answer 8 · 2017-09-01 11:52:51

3k

Views

Necessary and Sufficient Condition for Analyticity of a Polynomial

Published on 01 Sep 2017 - 11:52

score 744 · Answer 9 · 2026-03-28 16:04:09

744

Views

Why do you require connection in the open mapping theorem and maximum modulus principle?

Published on 28 Mar 2026 - 16:04

score 977 · Answer 10 · 2017-09-02 13:20:34

977

Views

Exponential decay leeds to analytic Fourier transform - Paley-Wiener Theorem

Published on 02 Sep 2017 - 13:20

score 902 · Answer 11 · 2026-03-29 12:11:56

902

Views

Prove that the map $z \mapsto \phi (z,w)$ is analytic for each fixed $w$ in a region $G$.

Published on 29 Mar 2026 - 12:11

score 149 · Answer 12 · 2017-09-02 21:15:17

149

Views

Let $\{f_n\}$ be a seq of analytic functions in $D$, show that ${f_n}\to f$ uniformly in $D_{\alpha}$

Published on 02 Sep 2017 - 21:15

score 583 · Answer 13 · 2026-03-29 15:28:13

583

Views

Long list of values of Ramanujan Tau function

Published on 29 Mar 2026 - 15:28

score 791 · Answer 14 · 2026-03-28 16:05:20

791

Views

Show that holomorphic function $f$ is constant if $\Re f$ or $\Im f$ or $|f|$ is constant without using Cauchy Riemann equations

Published on 28 Mar 2026 - 16:05

score 1.2k · Answer 15 · 2026-03-28 16:04:09

1.2k

Views

A function is analytic if and only if it is holomorphic

Published on 28 Mar 2026 - 16:04

List Question

When does a power series decay at infinity?

For every analytic function $f$ on $G$ (simply connected,open) s.t $f(z) \neq 0, \forall z \in G$, then $\exists$ g analytic in $G$ s.t $g^2 = f$

If $f$ analytic in $G$ and $\exists \lambda >0$, $|f(z)| = \lambda, \forall z \in \partial G \Rightarrow \exists z, f(z) = 0$

Is the function $f(z)= \sqrt{xy}$ analytic??

Analyticity of solutions of a second order elliptic PDE with smooth coefficients.

What is the number of analytic functions with certain fixed points on a domain?

Is $z^3 cot(z)$ analytic inside the unit circle ($z \in C$)?

Necessary and Sufficient Condition for Analyticity of a Polynomial

Why do you require connection in the open mapping theorem and maximum modulus principle?

Exponential decay leeds to analytic Fourier transform - Paley-Wiener Theorem

Prove that the map $z \mapsto \phi (z,w)$ is analytic for each fixed $w$ in a region $G$.

Let $\{f_n\}$ be a seq of analytic functions in $D$, show that ${f_n}\to f$ uniformly in $D_{\alpha}$

Long list of values of Ramanujan Tau function

Show that holomorphic function $f$ is constant if $\Re f$ or $\Im f$ or $|f|$ is constant without using Cauchy Riemann equations

A function is analytic if and only if it is holomorphic

Trending Questions

Popular # Hahtags

Popular Questions