List questions from entire-functions

Published on 21 Mar 2026 - 22:33

713

Views

Can entire functions have simple poles?

Published on 22 Mar 2026 - 8:04

901

Views

Singularities of $\,\mathrm{e}^{-1/z^2}$

Published on 24 Mar 2026 - 20:40

145

Views

Injective restriction of entire functions

Published on 22 Mar 2026 - 9:59

211

Views

Doubly Periodic Entire Functions

Published on 23 Mar 2026 - 20:49

198

Views

On a pseudo periodic entire function being an exponential function

Published on 19 Mar 2026 - 15:13

210

Views

If $f$ is entire and for some $r>0$ we have $f(z)=Cz^n$ for a constant $C \in\mathbb C$ on $|z|=r$ then does it follow that $f(z)=Cz^n$ for all $z$?

Published on 13 Apr 2018 - 14:48

62

Views

Express entire functions $f(z)$ by exact formula

Published on 14 Apr 2018 - 6:30

750

Views

Show that if $f$ is entire and $(\forall z \in \mathbb{C})$ $|f(z^2)| \leq |f(z)|$, then $f$ is constant

Published on 16 Apr 2018 - 13:44

461

Views

A nonvanishing entire function of finite order is the logarithm of a polynomial

Published on 16 Apr 2018 - 20:59

56

Views

Check $r\mapsto M_r=\max\{|f(z)|~:~|z|=r\}$ is an increasing function

Published on 20 Apr 2018 - 4:46

566

Views

Corollary of Liouville's Theorem

Published on 22 Mar 2026 - 10:41

74

Views

entire function that misses $[0,1]$ is constant

Published on 22 Mar 2026 - 15:49

198

Views

Can zeros of the Fourier transform of an asymmetric kernel all be real?

Published on 03 May 2018 - 19:25

89

Views

Question on entire function

Published on 21 Mar 2026 - 21:05

List Question

Doubly periodic function

Can entire functions have simple poles?

Singularities of $\,\mathrm{e}^{-1/z^2}$

Injective restriction of entire functions

Doubly Periodic Entire Functions

On a pseudo periodic entire function being an exponential function

If $f$ is entire and for some $r>0$ we have $f(z)=Cz^n$ for a constant $C \in\mathbb C$ on $|z|=r$ then does it follow that $f(z)=Cz^n$ for all $z$?

Express entire functions $f(z)$ by exact formula

Show that if $f$ is entire and $(\forall z \in \mathbb{C})$ $|f(z^2)| \leq |f(z)|$, then $f$ is constant

A nonvanishing entire function of finite order is the logarithm of a polynomial

Check $r\mapsto M_r=\max\{|f(z)|~:~|z|=r\}$ is an increasing function

Corollary of Liouville's Theorem

entire function that misses $[0,1]$ is constant

Can zeros of the Fourier transform of an asymmetric kernel all be real?

Question on entire function

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