List questions from analytic-functions

Published on 14 Apr 2026 - 20:51

49

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If $g(x_1,x_2)$ is analytic in $R^2$ and $g$ is a function of $\|x\|$ only. Is $h(\|x\|)=g(x_1,x_2)$ analytic in $\|x\|$?

Published on 16 Apr 2026 - 15:53

125

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Maximum value of $|f(z)|$

Published on 12 Apr 2026 - 16:21

1k

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Finding maximum value of $|f(z)|$ using Maximum modulus theorem?

Published on 05 May 2026 - 2:20

38

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Alternative characterizations of analytic functions

Published on 13 Apr 2026 - 17:10

273

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Clarification of Hurwitz's Theorem in C

Published on 16 Apr 2026 - 2:47

54

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Getting the analytic expression for this equation?

Published on 10 Apr 2026 - 18:35

1.3k

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Zeros of Holomorphic Functions

Published on 13 Apr 2026 - 11:17

140

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Complex Analysis: Find all analytic functions such that $(f(\frac{1}{p}))^3=\frac{p+1}{p}$

Published on 16 Apr 2026 - 18:43

478

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Showing that $f(z)$ is a constant function in the open ball $B(0;2)$

Published on 10 May 2026 - 16:13

237

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extending convergence radius using one boundary point

Published on 10 May 2026 - 13:47

275

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A composition of an exponential function with a non-analytic function

Published on 13 Apr 2026 - 4:48

220

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A possible application of Schwarz lemma

Published on 13 Apr 2026 - 3:03

708

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Counting roots using contour integral and derivative

Published on 13 Apr 2026 - 7:36

39

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Let f be whole such that $z_0$, $z_1$ $\in\mathbb{C}$ $\mathbb{R}$-independant, with $f(z+z_0)=f(z)=f(z+z_1)$ $\forall z\in\mathbb{C}$

Published on 15 Apr 2026 - 19:14

List Question

Normal Set in Space of Holomorphic Functions

If $g(x_1,x_2)$ is analytic in $R^2$ and $g$ is a function of $\|x\|$ only. Is $h(\|x\|)=g(x_1,x_2)$ analytic in $\|x\|$?

Maximum value of $|f(z)|$

Finding maximum value of $|f(z)|$ using Maximum modulus theorem?

Alternative characterizations of analytic functions

Clarification of Hurwitz's Theorem in C

Getting the analytic expression for this equation?

Zeros of Holomorphic Functions

Complex Analysis: Find all analytic functions such that $(f(\frac{1}{p}))^3=\frac{p+1}{p}$

Showing that $f(z)$ is a constant function in the open ball $B(0;2)$

extending convergence radius using one boundary point

A composition of an exponential function with a non-analytic function

A possible application of Schwarz lemma

Counting roots using contour integral and derivative

Let f be whole such that $z_0$, $z_1$ $\in\mathbb{C}$ $\mathbb{R}$-independant, with $f(z+z_0)=f(z)=f(z+z_1)$ $\forall z\in\mathbb{C}$

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