List questions from analyticity

Published on 27 Aug 2015 - 21:28

52

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Is my explanation correct regarding Maximum value of Sine function over $\Bbb C$?

Published on 02 Sep 2015 - 16:50

122

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Is continuity of first partials required for analyticity?

Published on 10 Sep 2015 - 23:32

211

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Does Cauchy's estimate imply analyticity?

Published on 23 Sep 2015 - 19:24

86

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analytic deformation of a compact set in the complex plane

Published on 25 Mar 2026 - 17:24

683

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Does there exist a holomorphic function with the following property?

Published on 26 Mar 2026 - 22:19

31

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Is sudden appearance of poles possible?

Published on 08 Oct 2015 - 2:11

107

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Proove that $x\frac{\partial u}{\partial x} + y\frac{\partial u}{\partial y}$ is the real part of an analytic function.

Published on 12 Oct 2015 - 20:30

620

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Approximation of non-analytic function

Published on 26 Feb 2026 - 20:47

117

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$f(x+1)=f(x)+f(\alpha\cdot x)$

Published on 24 Feb 2026 - 10:23

73

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Prove convergence of $\int^{\infty}_{0}\ t^{z-1}cos(t)dt$ and $\int^{\infty}_{0}\ t^{z-1}sin(t)dt$

Published on 18 Oct 2015 - 6:53

425

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Zeros of real analytic functions on $\mathbb{R}^n$

Published on 13 Mar 2026 - 2:52

125

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Proving that a complex function is analytic, and finding its power series

Published on 09 Mar 2026 - 7:58

908

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Prove $|f(z)|\leq M|z|$ inside unit disk if $f(0)=0$ and $|f(z)|\leq M$

Published on 25 Mar 2026 - 17:06

1.1k

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Example of real analytic function

Published on 23 Oct 2015 - 21:47

List Question

Prove that if $f$ and $g$ are analytic at $w$, then so is $fg$

Is my explanation correct regarding Maximum value of Sine function over $\Bbb C$?

Is continuity of first partials required for analyticity?

Does Cauchy's estimate imply analyticity?

analytic deformation of a compact set in the complex plane

Does there exist a holomorphic function with the following property?

Is sudden appearance of poles possible?

Proove that $x\frac{\partial u}{\partial x} + y\frac{\partial u}{\partial y}$ is the real part of an analytic function.

Approximation of non-analytic function

$f(x+1)=f(x)+f(\alpha\cdot x)$

Prove convergence of $\int^{\infty}_{0}\ t^{z-1}cos(t)dt$ and $\int^{\infty}_{0}\ t^{z-1}sin(t)dt$

Zeros of real analytic functions on $\mathbb{R}^n$

Proving that a complex function is analytic, and finding its power series

Prove $|f(z)|\leq M|z|$ inside unit disk if $f(0)=0$ and $|f(z)|\leq M$

Example of real analytic function

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