List questions from entire-functions

Published on 07 Jun 2016 - 9:42

773

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Prove that a square-integrable entire function is identically zero

Published on 12 Jun 2016 - 1:51

59

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Function satisfying inequality has no root

Published on 13 Jun 2016 - 15:35

89

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An entire function of irrational order

Published on 15 Jun 2016 - 18:54

670

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Prove $\sum \frac{\cos nz}{n!}$ converges on compact sets

Published on 15 Jun 2016 - 21:40

906

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Is $|z^2|$ entire function?

Published on 16 Jun 2016 - 14:54

66

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Condition to be polynomial.

Published on 18 Jun 2016 - 2:55

2.1k

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Let $f=u+iv$ is an entire function. If $u+v$ is bounded then is $f$ constant or not? $(u=Ref(z)$ and $v=Imf(z))$

Published on 20 Jun 2016 - 5:48

133

Views

Analytic function $f$ satisfying $f=f \circ g$

Published on 20 Jun 2016 - 10:28

82

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Does there exist a non constant entire function $f: \mathbb C \to \mathbb C$ which is square integrable?

Published on 20 Jun 2016 - 10:31

166

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Convergence of a series of complex numbers.

Published on 27 Jun 2016 - 15:53

327

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If $g(z) = z^kf(\frac{1}{z})$ is bounded in some annular region, then $f(z)$ is a polynomial

Published on 28 Jun 2016 - 22:18

116

Views

To show an entire function is zero

Published on 29 Jun 2016 - 8:13

807

Views

Application of the Casorati-Weiertrass theorem

Published on 29 Jun 2016 - 12:21

269

Views

Existennce of an entire function with certain prescribed values

Published on 01 Jul 2016 - 17:33

List Question

Entire functions and integrability

Prove that a square-integrable entire function is identically zero

Function satisfying inequality has no root

An entire function of irrational order

Prove $\sum \frac{\cos nz}{n!}$ converges on compact sets

Is $|z^2|$ entire function?

Condition to be polynomial.

Let $f=u+iv$ is an entire function. If $u+v$ is bounded then is $f$ constant or not? $(u=Ref(z)$ and $v=Imf(z))$

Analytic function $f$ satisfying $f=f \circ g$

Does there exist a non constant entire function $f: \mathbb C \to \mathbb C$ which is square integrable?

Convergence of a series of complex numbers.

If $g(z) = z^kf(\frac{1}{z})$ is bounded in some annular region, then $f(z)$ is a polynomial

To show an entire function is zero

Application of the Casorati-Weiertrass theorem

Existennce of an entire function with certain prescribed values

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