Question

Riemann surface and projective curve associated with a polynomial

score 284 · Answer 1 · 2020-06-14 19:04:53

284

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Riemann surface and projective curve associated with a polynomial

Published on 14 Jun 2020 - 19:04

score 67 · Answer 2 · 2020-06-26 19:15:14

67

Views

$f$ holomorphic in $\mathbb{D}$ extends to Analytic function

Published on 26 Jun 2020 - 19:15

score 66 · Answer 3 · 2020-06-28 22:31:40

66

Views

Analytic continuation of $ F(k)=\bigg|\int_0^1 \frac{e^{\frac{1}{\log(x)}}}{x\log^k(x)}~dx \bigg|=(k-2)! $

Published on 28 Jun 2020 - 22:31

score 360 · Answer 4 · 2020-07-07 16:48:08

360

Views

f is analytic except possibly on $|z|=1$ and agrees with entire function $g$ when $|z|=1$, then $f$ is entire.

Published on 07 Jul 2020 - 16:48

score 78 · Answer 5 · 2020-07-09 21:54:48

78

Views

Analytical continuations of partial sums

Published on 09 Jul 2020 - 21:54

score 231 · Answer 6 · 2020-07-12 20:45:02

231

Views

Is there a way to analytically extend $x^2+x^3+x^5+x^7+\cdots+x^{p_n}+\cdots$?

Published on 12 Jul 2020 - 20:45

score 64 · Answer 7 · 2020-07-14 11:40:38

64

Views

Special case of the Monodromy Theorem

Published on 14 Jul 2020 - 11:40

score 80 · Answer 8 · 2026-03-25 10:56:54

80

Views

Meromorphic continuation of $1+z+z^2+z^3+\ldots$

Published on 25 Mar 2026 - 10:56

score 1.1k · Answer 9 · 2020-07-20 19:37:54

1.1k

Views

Stein and Shakarchi, Complex Analysis, Chapter 2, Problem 1(b)

Published on 20 Jul 2020 - 19:37

score 64 · Answer 10 · 2020-07-21 06:29:04

64

Views

Extension of a holomorphic function $f$ to the disc $D(0,R)$

Published on 21 Jul 2020 - 6:29

score 81 · Answer 11 · 2020-07-22 01:50:41

81

Views

Analytic continuation of a function on the right half-plane to a region enclosing the circle $\{ \lvert z \rvert = 3\}$

Published on 22 Jul 2020 - 1:50

score 194 · Answer 12 · 2020-07-30 10:16:42

194

Views

Analytic continuation of Eisenstein series

Published on 30 Jul 2020 - 10:16

score 40 · Answer 13 · 2020-07-30 21:00:46

40

Views

Looking for some background on closed linear span

Published on 30 Jul 2020 - 21:00

score 231 · Answer 14 · 2016-07-08 01:31:34

231

Views

Proof for continuous function on an open subset of $\mathbb{C}$ which take on a specific form.

Published on 08 Jul 2016 - 1:31

score 1.1k · Answer 15 · 2016-07-16 21:12:30

1.1k

Views

Analytic continuation of $\sum z^n/n$

Published on 16 Jul 2016 - 21:12

List Question

Riemann surface and projective curve associated with a polynomial

$f$ holomorphic in $\mathbb{D}$ extends to Analytic function

Analytic continuation of $ F(k)=\bigg|\int_0^1 \frac{e^{\frac{1}{\log(x)}}}{x\log^k(x)}~dx \bigg|=(k-2)! $

f is analytic except possibly on $|z|=1$ and agrees with entire function $g$ when $|z|=1$, then $f$ is entire.

Analytical continuations of partial sums

Is there a way to analytically extend $x^2+x^3+x^5+x^7+\cdots+x^{p_n}+\cdots$?

Special case of the Monodromy Theorem

Meromorphic continuation of $1+z+z^2+z^3+\ldots$

Stein and Shakarchi, Complex Analysis, Chapter 2, Problem 1(b)

Extension of a holomorphic function $f$ to the disc $D(0,R)$

Analytic continuation of a function on the right half-plane to a region enclosing the circle $\{ \lvert z \rvert = 3\}$

Analytic continuation of Eisenstein series

Looking for some background on closed linear span

Proof for continuous function on an open subset of $\mathbb{C}$ which take on a specific form.

Analytic continuation of $\sum z^n/n$

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