Question

Textbook Proposition on Product of Real Analytic Functions

score 228 · Answer 1 · 2018-12-05 15:38:32

228

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Textbook Proposition on Product of Real Analytic Functions

Published on 05 Dec 2018 - 15:38

score 601 · Answer 2 · 2026-03-25 13:57:07

601

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If $Re(f)$ is a polynomial then $f$ is a polynomial, where$f$ is entire

Published on 25 Mar 2026 - 13:57

score 37 · Answer 3 · 2026-02-23 10:22:05

37

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Is $f_{n}$ is analytic on $(a, b)$ and $f_{n} \rightarrow f$ uniformly on $(a, b)$ then is $f$ analytic on $(a, b)$?

Published on 23 Feb 2026 - 10:22

score 1k · Answer 4 · 2026-03-25 01:25:37

1k

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Definition of analytic function at a point

Published on 25 Mar 2026 - 1:25

score 950 · Answer 5 · 2018-12-20 13:37:59

950

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When to resolve into partial fractions for applying Cauchy's integral formula?

Published on 20 Dec 2018 - 13:37

score 1.4k · Answer 6 · 2018-12-22 20:04:00

1.4k

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what is the mapping of horizontal lines and vertical lines under $w(z)=sin(z)$ in general?

Published on 22 Dec 2018 - 20:04

score 85 · Answer 7 · 2019-01-04 21:35:13

85

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General formula for integrating analytic function with linear term

Published on 04 Jan 2019 - 21:35

score 167 · Answer 8 · 2019-01-05 14:48:42

167

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$f$ is analytic in the unit disk such that $|f(1/n)|\leq e^{-\sqrt{n}}$. Prove that $f$ Is identically zero.

Published on 05 Jan 2019 - 14:48

score 436 · Answer 9 · 2026-03-25 09:49:27

436

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$f$ has a pole at $z=a$ implies $1/f$ has a removable singularity at $z=a$

Published on 25 Mar 2026 - 9:49

score 222 · Answer 10 · 2026-03-24 22:01:38

222

Views

Is there a name for the square of a function plus the square of its Hilbert transform?

Published on 24 Mar 2026 - 22:01

score 166 · Answer 11 · 2019-01-07 05:34:40

166

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$f(x+y) = f(x) + f(y) + f^k(x) f(y) + f^k(y)f(x) $

Published on 07 Jan 2019 - 5:34

score 45 · Answer 12 · 2019-01-08 09:31:52

45

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How is it possibile for a complex analytic function not having a derivative in the region in which it is analytic?

Published on 08 Jan 2019 - 9:31

score 38 · Answer 13 · 2019-01-13 23:00:39

38

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Existence of the limit of a bounded analytic function

Published on 13 Jan 2019 - 23:00

score 52 · Answer 14 · 2019-01-14 03:49:56

52

Views

Different ( Is it equivalent?) hypothesis for stronger version of Goursat's theorem

Published on 14 Jan 2019 - 3:49

score 62 · Answer 15 · 2026-03-25 06:00:39

62

Views

Is there a "monotonicity" property for analytic continuation?

Published on 25 Mar 2026 - 6:00

List Question

Textbook Proposition on Product of Real Analytic Functions

If $Re(f)$ is a polynomial then $f$ is a polynomial, where$f$ is entire

Is $f_{n}$ is analytic on $(a, b)$ and $f_{n} \rightarrow f$ uniformly on $(a, b)$ then is $f$ analytic on $(a, b)$?

Definition of analytic function at a point

When to resolve into partial fractions for applying Cauchy's integral formula?

what is the mapping of horizontal lines and vertical lines under $w(z)=sin(z)$ in general?

General formula for integrating analytic function with linear term

$f$ is analytic in the unit disk such that $|f(1/n)|\leq e^{-\sqrt{n}}$. Prove that $f$ Is identically zero.

$f$ has a pole at $z=a$ implies $1/f$ has a removable singularity at $z=a$

Is there a name for the square of a function plus the square of its Hilbert transform?

$f(x+y) = f(x) + f(y) + f^k(x) f(y) + f^k(y)f(x) $

How is it possibile for a complex analytic function not having a derivative in the region in which it is analytic?

Existence of the limit of a bounded analytic function

Different ( Is it equivalent?) hypothesis for stronger version of Goursat's theorem

Is there a "monotonicity" property for analytic continuation?

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