Question

If $f:\mathbb{C} \to \mathbb{C}$is Holomorphic automorphism Then $\vert f(z) \vert \to \infty$ as $\vert z \vert \to \infty$

score 155 · Answer 1 · 2026-04-14 22:29:34

155

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If $f:\mathbb{C} \to \mathbb{C}$is Holomorphic automorphism Then $\vert f(z) \vert \to \infty$ as $\vert z \vert \to \infty$

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4.8k

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57

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58

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176

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319

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411

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List Question

If $f:\mathbb{C} \to \mathbb{C}$is Holomorphic automorphism Then $\vert f(z) \vert \to \infty$ as $\vert z \vert \to \infty$

Understanding the Riemann Surface of the $\sqrt{z}$

Circle of $\varepsilon$-radius on Riemann sphere related to exterior of $1/\varepsilon$-circle

Two hyperbolic elements generated subgroup forming a Fuchsian group?

Holomorphic Functions as complex charts

Books and references for Möbius transformation, hyperbolic Riemann surface and covering transformation

Can $g(t) = \infty$ in $\hat{\mathbb{C}}$?

Visualizing Riemann surface

Simplest non-constant holomorphic function having a holomorphic square root

How to prove $ \bigl\lvert \frac{az+b}{cz+d}\bigr\rvert = \frac{\operatorname{Im}(z)}{\vert cz+d \vert^2}$? $z\in \mathbb{H}$

How to define a branch cut for the square root function over prime characteristic?

2 sheeted covering space over a connected hausdorff space is connected?

maximal analytic continuation of a holomorphic germ on riemann surface

A Problem on Isomorphism Between Compact Riemann Surfaces

a sequence of polynomials which converges uniformly on compact subsets of domain will converge uniformly on a compact set outside domain

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