Question

Using the Inverse Function Theorem for complex functions

score 389 · Answer 1 · 2016-05-04 03:54:30

389

Views

Using the Inverse Function Theorem for complex functions

Published on 04 May 2016 - 3:54

score 991 · Answer 2 · 2016-05-05 04:01:13

991

Views

Do monomials form a basis for the vector space of real analytic functions?

Published on 05 May 2016 - 4:01

score 64 · Answer 3 · 2016-05-10 02:39:12

Let $U\subseteq \mathbb{C}$ be a region and let $h,g$ meromorphic functions in $U$. If $h$ has an essential singularity in $U$. Can I say that $h=g$?

score 161 · Answer 4 · 2016-05-11 11:48:27

161

Views

Local invertibility with Cauchy-Riemann equations and $Df\neq0$

Published on 11 May 2016 - 11:48

score 187 · Answer 5 · 2016-05-14 18:56:04

187

Views

Let $a\in \Bbb C$ with $|a|>1$. Find the image of the unit disk under the analytic function $f(z)=1/(z+a)$

Published on 14 May 2016 - 18:56

score 39 · Answer 6 · 2026-03-27 17:50:35

39

Views

Analyticity Proof

Published on 27 Mar 2026 - 17:50

score 146 · Answer 7 · 2016-05-18 14:49:42

146

Views

If for every $z\in G$ there is $n$ such that $f^{(n)}(z)=0$, then $f$ is a polynomial.

Published on 18 May 2016 - 14:49

score 177 · Answer 8 · 2026-03-27 17:58:46

177

Views

Function inversion (analytical)

Published on 27 Mar 2026 - 17:58

score 54 · Answer 9 · 2016-05-20 10:28:28

54

Views

Prove that $f^{2016}(z)=z(z-1)\ldots(z-2015)$ for an analytic $f$.

Published on 20 May 2016 - 10:28

score 140 · Answer 10 · 2016-05-26 09:37:50

140

Views

On $\zeta(s)=h^2(s)$ when we presume that the Riemann zeta function has no zeros for $\Re s>\frac{1}{2}$

Published on 26 May 2016 - 9:37

score 3.6k · Answer 11 · 2016-05-30 18:50:47

3.6k

Views

Real and imaginary part of an analytic function are harmonic?

Published on 30 May 2016 - 18:50

score 1.2k · Answer 12 · 2026-03-25 16:20:36

1.2k

Views

Analytic floor function, why this seems to work?

Published on 25 Mar 2026 - 16:20

score 82 · Answer 13 · 2016-06-14 23:50:06

82

Views

Existence (?) of an analytic $f$ such that $|f(z)|=e^{|z|},~|z|<1.$

Published on 14 Jun 2016 - 23:50

score 278 · Answer 14 · 2026-03-28 02:03:05

278

Views

Prove or Disprove: A holomorphic function with the given property exists

Published on 28 Mar 2026 - 2:03

score 808 · Answer 15 · 2016-06-18 20:03:07

808

Views

Is the flow of an analytic vector field also analytic?

Published on 18 Jun 2016 - 20:03

List Question

Using the Inverse Function Theorem for complex functions

Do monomials form a basis for the vector space of real analytic functions?

Let $U\subseteq \mathbb{C}$ be a region and let $h,g$ meromorphic functions in $U$. If $h$ has an essential singularity in $U$. Can I say that $h=g$?

Local invertibility with Cauchy-Riemann equations and $Df\neq0$

Let $a\in \Bbb C$ with $|a|>1$. Find the image of the unit disk under the analytic function $f(z)=1/(z+a)$

Analyticity Proof

If for every $z\in G$ there is $n$ such that $f^{(n)}(z)=0$, then $f$ is a polynomial.

Function inversion (analytical)

Prove that $f^{2016}(z)=z(z-1)\ldots(z-2015)$ for an analytic $f$.

On $\zeta(s)=h^2(s)$ when we presume that the Riemann zeta function has no zeros for $\Re s>\frac{1}{2}$

Real and imaginary part of an analytic function are harmonic?

Analytic floor function, why this seems to work?

Existence (?) of an analytic $f$ such that $|f(z)|=e^{|z|},~|z|<1.$

Prove or Disprove: A holomorphic function with the given property exists

Is the flow of an analytic vector field also analytic?

Trending Questions

Popular # Hahtags

Popular Questions