Question

On the product of analytic functions

score 78 · Answer 1 · 2022-11-29 14:52:31

78

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On the product of analytic functions

Published on 29 Nov 2022 - 14:52

score 38 · Answer 2 · 2022-11-29 17:35:43

38

Views

Is it possible for a function to equal its Taylor series on a half interval

Published on 29 Nov 2022 - 17:35

score 62 · Answer 3 · 2022-12-03 02:51:38

62

Views

Existence of an analytic function by estimate

Published on 03 Dec 2022 - 2:51

score 54 · Answer 4 · 2022-12-07 11:07:58

54

Views

Left and right derivative of Fourier transform of a function supported in a half-line

Published on 07 Dec 2022 - 11:07

score 91 · Answer 5 · 2022-12-07 20:02:07

91

Views

Holomorphic Functions Accumulating Zeros

Published on 07 Dec 2022 - 20:02

score 31 · Answer 6 · 2022-12-19 19:40:59

31

Views

Sum of an infinite series

Published on 19 Dec 2022 - 19:40

score 54 · Answer 7 · 2026-03-30 13:41:30

54

Views

For which sequence do all associated power series converge? (describe the subset of $\Bbb R^\Bbb N$ "homeomorphic" to the analytic functions)

Published on 30 Mar 2026 - 13:41

score 72 · Answer 8 · 2022-12-27 13:00:38

72

Views

Modulus squared of derivative of analytic function

Published on 27 Dec 2022 - 13:00

score 240 · Answer 9 · 2022-12-31 20:25:14

240

Views

Is the real part of a complex analytic function, real analytic?

Published on 31 Dec 2022 - 20:25

score 33 · Answer 10 · 2026-03-28 05:28:53

33

Views

The relationship between interior and exterior Riemann maps

Published on 28 Mar 2026 - 5:28

score 105 · Answer 11 · 2023-01-03 17:33:26

Find all analytic functions $f(z) = u(x,y)+iv(x,y), z \in \mathbb{C}$ such that $\frac{\Re(f(z))}{\Im(f(z))} = \frac{u(x, y)}{v(x, y)} = g(x).$

score 64 · Answer 12 · 2026-03-28 05:22:40

64

Views

Deducing that an analytic function $f$ in a simply connected domain $\Omega$ is the derivative of an analytic function $F:\Omega\to\mathbb{C}$

Published on 28 Mar 2026 - 5:22

score 23 · Answer 13 · 2023-01-07 15:58:08

23

Views

Can we find an analytic function $f(x)$ whose zeros are the product from the zeros of two given analytic functions?

Published on 07 Jan 2023 - 15:58

score 15 · Answer 14 · 2026-03-03 17:32:45

15

Views

Proving that a complex function blows up near a pole

Published on 03 Mar 2026 - 17:32

score 29 · Answer 15 · 2023-01-14 13:07:35

29

Views

If $g(z)$ is analytic near $0$, and $g(z) = \exp(z\,g(z))$, then $g(z)=\sum_{n \geq 0}\frac{(n+1)^{n-1}}{n!} z^n$ near $0$

Published on 14 Jan 2023 - 13:07

List Question

On the product of analytic functions

Is it possible for a function to equal its Taylor series on a half interval

Existence of an analytic function by estimate

Left and right derivative of Fourier transform of a function supported in a half-line

Holomorphic Functions Accumulating Zeros

Sum of an infinite series

For which sequence do all associated power series converge? (describe the subset of $\Bbb R^\Bbb N$ "homeomorphic" to the analytic functions)

Modulus squared of derivative of analytic function

Is the real part of a complex analytic function, real analytic?

The relationship between interior and exterior Riemann maps

Find all analytic functions $f(z) = u(x,y)+iv(x,y), z \in \mathbb{C}$ such that $\frac{\Re(f(z))}{\Im(f(z))} = \frac{u(x, y)}{v(x, y)} = g(x).$

Deducing that an analytic function $f$ in a simply connected domain $\Omega$ is the derivative of an analytic function $F:\Omega\to\mathbb{C}$

Can we find an analytic function $f(x)$ whose zeros are the product from the zeros of two given analytic functions?

Proving that a complex function blows up near a pole

If $g(z)$ is analytic near $0$, and $g(z) = \exp(z\,g(z))$, then $g(z)=\sum_{n \geq 0}\frac{(n+1)^{n-1}}{n!} z^n$ near $0$

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