List questions from analytic-functions

Published on 22 Apr 2018 - 22:22

46

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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 24 Apr 2018 - 19:44

121

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Maximum value of $|f(z)|$

Published on 27 Apr 2018 - 3:24

1k

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

Published on 19 Mar 2026 - 12:19

35

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Alternative characterizations of analytic functions

Published on 27 Apr 2018 - 10:42

270

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Clarification of Hurwitz's Theorem in C

Published on 28 Apr 2018 - 7:41

50

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Getting the analytic expression for this equation?

Published on 01 May 2018 - 0:29

1.3k

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Zeros of Holomorphic Functions

Published on 01 May 2018 - 16:06

137

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

Published on 02 May 2018 - 12:56

472

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

Published on 22 Mar 2026 - 14:19

234

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extending convergence radius using one boundary point

Published on 24 Mar 2026 - 22:06

272

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

Published on 13 May 2018 - 10:40

216

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A possible application of Schwarz lemma

Published on 16 May 2018 - 4:37

705

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Counting roots using contour integral and derivative

Published on 16 May 2018 - 5:28

36

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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 16 May 2018 - 15:25

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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