Question

Which one of the following statement holds for every analytics functions $f : T \rightarrow \mathbb{C}$

score 79 · Answer 1 · 2018-07-30 18:40:08

79

Views

Which one of the following statement holds for every analytics functions $f : T \rightarrow \mathbb{C}$

Published on 30 Jul 2018 - 18:40

score 497 · Answer 2 · 2026-03-24 23:44:48

497

Views

What uniquely characterizes the germ of a smooth function?

Published on 24 Mar 2026 - 23:44

score 2.7k · Answer 3 · 2018-08-07 14:19:58

2.7k

Views

Definitions of analytic, regular, holomorphic, differentiable, conformal: what implies what and do any imply that a function is a bijection?

Published on 07 Aug 2018 - 14:19

score 227 · Answer 4 · 2018-08-08 05:38:45

227

Views

Showing $|1-e^z|<|z|$ when the real part of $z$ is negative

Published on 08 Aug 2018 - 5:38

score 356 · Answer 5 · 2026-03-24 23:45:17

356

Views

Is a real-analytic function which vanishes on a set of positive measure identically zero?

Published on 24 Mar 2026 - 23:45

score 61 · Answer 6 · 2018-08-10 22:43:50

61

Views

Real differentiable function with sequence of turning points that tend to a limit... can the function be analytic?

Published on 10 Aug 2018 - 22:43

score 414 · Answer 7 · 2018-08-11 04:58:45

414

Views

If $f$ is entire and $\left|f\left(\frac{1}{\ln{(n+2)}}\right)\right|<\frac{1}{n}$ for every positive integer $n$ then $f=0$

Published on 11 Aug 2018 - 4:58

score 495 · Answer 8 · 2018-08-11 15:08:42

495

Views

How to argue that a series that isn't a power series is analytic?

Published on 11 Aug 2018 - 15:08

score 80 · Answer 9 · 2018-08-13 22:01:29

80

Views

Entire extension of $f(x+y)=g(x)g(y)-h(x)h(y)$

Published on 13 Aug 2018 - 22:01

score 369 · Answer 10 · 2018-08-15 01:53:52

369

Views

sum expression in terms of special functions $\sum_{n=1}^\infty \frac{n^{s-1}}{e^{2\pi n}-1}$

Published on 15 Aug 2018 - 1:53

score 763 · Answer 11 · 2026-03-24 20:30:47

763

Views

Branch Points of the Polylog function

Published on 24 Mar 2026 - 20:30

score 251 · Answer 12 · 2018-08-16 16:04:08

251

Views

Show that a function with specific bound on its derivatives is analytic

Published on 16 Aug 2018 - 16:04

score 580 · Answer 13 · 2018-08-16 22:59:49

580

Views

Analytic and bounded implies uniform continuity

Published on 16 Aug 2018 - 22:59

score 226 · Answer 14 · 2018-08-19 19:06:06

226

Views

Are two real, two variable polynomials, satisfying the Cauchy-Riemann equations, a complex polynomial?

Published on 19 Aug 2018 - 19:06

score 185 · Answer 15 · 2018-08-21 02:37:27

185

Views

Show that a complex Differentiable function f with $|f'|\leq 1$ is a contraction.

Published on 21 Aug 2018 - 2:37

List Question

Which one of the following statement holds for every analytics functions $f : T \rightarrow \mathbb{C}$

What uniquely characterizes the germ of a smooth function?

Definitions of analytic, regular, holomorphic, differentiable, conformal: what implies what and do any imply that a function is a bijection?

Showing $|1-e^z|<|z|$ when the real part of $z$ is negative

Is a real-analytic function which vanishes on a set of positive measure identically zero?

Real differentiable function with sequence of turning points that tend to a limit... can the function be analytic?

If $f$ is entire and $\left|f\left(\frac{1}{\ln{(n+2)}}\right)\right|<\frac{1}{n}$ for every positive integer $n$ then $f=0$

How to argue that a series that isn't a power series is analytic?

Entire extension of $f(x+y)=g(x)g(y)-h(x)h(y)$

sum expression in terms of special functions $\sum_{n=1}^\infty \frac{n^{s-1}}{e^{2\pi n}-1}$

Branch Points of the Polylog function

Show that a function with specific bound on its derivatives is analytic

Analytic and bounded implies uniform continuity

Are two real, two variable polynomials, satisfying the Cauchy-Riemann equations, a complex polynomial?

Show that a complex Differentiable function f with $|f'|\leq 1$ is a contraction.

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