Question

Prove or refute these lemmas that I've deduced concerning examples to the Pólya class

score 86 · Answer 1 · 2016-12-08 23:39:08

86

Views

Prove or refute these lemmas that I've deduced concerning examples to the Pólya class

Published on 08 Dec 2016 - 23:39

score 189 · Answer 2 · 2016-12-14 09:09:07

189

Views

Entire function and constant

Published on 14 Dec 2016 - 9:09

score 338 · Answer 3 · 2016-12-26 23:42:31

338

Views

Prove statement about the roots of a monic polynomial, possibly using Rouché?

Published on 26 Dec 2016 - 23:42

score 188 · Answer 4 · 2016-12-29 00:55:41

188

Views

False proof about entire functions !?

Published on 29 Dec 2016 - 0:55

score 82 · Answer 5 · 2017-01-20 07:50:50

82

Views

Power series of $f: \mathbb{C} \to \mathbb{C}$ with $f(\mathbb{R}) \subset \mathbb{R}$

Published on 20 Jan 2017 - 7:50

score 94 · Answer 6 · 2017-01-26 20:33:59

94

Views

Showing the existence of an entire function

Published on 26 Jan 2017 - 20:33

score 467 · Answer 7 · 2017-02-13 09:14:08

467

Views

Does there exist an entire function such that f(z+i) = f(z)+1, f(z+1) = f(z)+i, for all z?

Published on 13 Feb 2017 - 9:14

score 342 · Answer 8 · 2017-02-14 12:03:45

342

Views

Entire function such that $|f(z)| \geq 11|z|$ on $\mathbb {C}-closure({\mathbb {D}(0, 10))}$

Published on 14 Feb 2017 - 12:03

score 205 · Answer 9 · 2017-02-25 00:48:53

205

Views

Computing modulus of complex function?

Published on 25 Feb 2017 - 0:48

score 828 · Answer 10 · 2017-02-26 10:49:16

828

Views

An application of Little Picard Theorem

Published on 26 Feb 2017 - 10:49

score 324 · Answer 11 · 2017-03-01 08:53:33

324

Views

Does an entire function $f$ with a pole at infinity implies $|Re(f)| \to \infty$ or $|Im(f)| \to \infty$?

Published on 01 Mar 2017 - 8:53

score 2.2k · Answer 12 · 2017-03-04 14:31:44

2.2k

Views

Find all entire functions with $f(z) = f(\frac{1}{z})$

Published on 04 Mar 2017 - 14:31

score 294 · Answer 13 · 2017-03-07 20:36:21

294

Views

Does a holomorphic function converges and equal to its Taylor series?

Published on 07 Mar 2017 - 20:36

score 176 · Answer 14 · 2017-03-11 16:54:31

176

Views

Find the entire functions that satisfy the following condition

Published on 11 Mar 2017 - 16:54

score 851 · Answer 15 · 2017-03-11 19:17:24

851

Views

Proving image of nonconstant, entire function is dense in $\mathbb{C}$

Published on 11 Mar 2017 - 19:17

List Question

Prove or refute these lemmas that I've deduced concerning examples to the Pólya class

Entire function and constant

Prove statement about the roots of a monic polynomial, possibly using Rouché?

False proof about entire functions !?

Power series of $f: \mathbb{C} \to \mathbb{C}$ with $f(\mathbb{R}) \subset \mathbb{R}$

Showing the existence of an entire function

Does there exist an entire function such that f(z+i) = f(z)+1, f(z+1) = f(z)+i, for all z?

Entire function such that $|f(z)| \geq 11|z|$ on $\mathbb {C}-closure({\mathbb {D}(0, 10))}$

Computing modulus of complex function?

An application of Little Picard Theorem

Does an entire function $f$ with a pole at infinity implies $|Re(f)| \to \infty$ or $|Im(f)| \to \infty$?

Find all entire functions with $f(z) = f(\frac{1}{z})$

Does a holomorphic function converges and equal to its Taylor series?

Find the entire functions that satisfy the following condition

Proving image of nonconstant, entire function is dense in $\mathbb{C}$

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