Question

Implications of Analyticity

score 189 · Answer 1 · 2020-09-29 05:27:31

189

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Implications of Analyticity

Published on 29 Sep 2020 - 5:27

score 159 · Answer 2 · 2020-10-01 18:47:27

159

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Morera's Theorem in Several Variables

Published on 01 Oct 2020 - 18:47

score 27 · Answer 3 · 2026-03-30 01:29:46

27

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Does an analytic function $f(x|y)$, $x,y \in C$ holds its analyticity after conditioning on a random variable $y$ e.g. $g(x,y)=E[f(x|y)]$?

Published on 30 Mar 2026 - 1:29

score 185 · Answer 4 · 2020-10-07 11:01:03

If $f$ is complex analytic on $S=\{x+iy : |x|<1, |y|<1\}$, continuous on $\bar{S}$ and bounded by $1,2,3,4$ on each side, then is $|f(0)|>2$ possible?

score 78 · Answer 5 · 2026-03-29 09:22:55

78

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Proof of integral representation of Nevanlinna functions without conformal mapping

Published on 29 Mar 2026 - 9:22

score 34 · Answer 6 · 2020-10-11 16:48:21

34

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Show that there exists $0 \lt \tau \lt 1$ such that for all $0 \lt t \lt \tau,$ $f\left (\gamma(t) \right ) \neq 0.$

Published on 11 Oct 2020 - 16:48

score 186 · Answer 7 · 2020-10-13 19:52:08

186

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Cardinality of the set $ \{ z \in \mathbb C : e^{z} = z \}$

Published on 13 Oct 2020 - 19:52

score 90 · Answer 8 · 2020-10-13 23:42:43

90

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Real analysis: if a function is differentiable does it imply that it has a power series?

Published on 13 Oct 2020 - 23:42

score 111 · Answer 9 · 2020-10-14 07:08:04

111

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Existence of an analytic function on disk

Published on 14 Oct 2020 - 7:08

score 182 · Answer 10 · 2020-10-14 14:17:59

182

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Are power series with analytic coefficients analytic?

Published on 14 Oct 2020 - 14:17

score 157 · Answer 11 · 2020-10-15 04:12:22

157

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Can a non-constant analytic function satisfy this particular condition

Published on 15 Oct 2020 - 4:12

score 97 · Answer 12 · 2020-10-18 23:58:33

97

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Is there an analytic continuation of the function, $P(n)$, that gives the $n$-th prime number?

Published on 18 Oct 2020 - 23:58

score 94 · Answer 13 · 2020-10-22 09:44:24

94

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Properties of analytic function

Published on 22 Oct 2020 - 9:44

score 590 · Answer 14 · 2020-10-24 01:13:01

590

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Real part of analytic function is differentiable

Published on 24 Oct 2020 - 1:13

score 35 · Answer 15 · 2020-11-06 03:43:24

35

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Checking whether an analytic function is a zero function or not

Published on 06 Nov 2020 - 3:43

List Question

Implications of Analyticity

Morera's Theorem in Several Variables

Does an analytic function $f(x|y)$, $x,y \in C$ holds its analyticity after conditioning on a random variable $y$ e.g. $g(x,y)=E[f(x|y)]$?

If $f$ is complex analytic on $S=\{x+iy : |x|<1, |y|<1\}$, continuous on $\bar{S}$ and bounded by $1,2,3,4$ on each side, then is $|f(0)|>2$ possible?

Proof of integral representation of Nevanlinna functions without conformal mapping

Show that there exists $0 \lt \tau \lt 1$ such that for all $0 \lt t \lt \tau,$ $f\left (\gamma(t) \right ) \neq 0.$

Cardinality of the set $ \{ z \in \mathbb C : e^{z} = z \}$

Real analysis: if a function is differentiable does it imply that it has a power series?

Existence of an analytic function on disk

Are power series with analytic coefficients analytic?

Can a non-constant analytic function satisfy this particular condition

Is there an analytic continuation of the function, $P(n)$, that gives the $n$-th prime number?

Properties of analytic function

Real part of analytic function is differentiable

Checking whether an analytic function is a zero function or not

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