Question

Show that there cannot be an entire function that satisfy $|z+(\cos (z)-1)f(z)|\leq 7$

score 337 · Answer 1 · 2018-05-04 15:10:19

337

Views

Show that there cannot be an entire function that satisfy $|z+(\cos (z)-1)f(z)|\leq 7$

Published on 04 May 2018 - 15:10

score 178 · Answer 2 · 2018-05-05 14:49:41

178

Views

Determine all entire functions which are injective

Published on 05 May 2018 - 14:49

score 428 · Answer 3 · 2018-05-06 19:12:56

428

Views

$P(z)$ be a monic polynomial with complex co-efficients of degree $n$ such that $|P(z)| \le 1, \forall |z| \le 1$ ; then is $P(z)=z^n$?

Published on 06 May 2018 - 19:12

score 148 · Answer 4 · 2018-05-07 16:02:13

148

Views

A nonconstant complex function satisfying $f(z+w)=f(z)f(w)$ and differentiable at the origin is entire

Published on 07 May 2018 - 16:02

score 402 · Answer 5 · 2018-05-10 22:38:43

402

Views

Examples of entire functions with none, one and infinite zeros.

Published on 10 May 2018 - 22:38

score 301 · Answer 6 · 2018-05-11 02:30:58

301

Views

Holomorphic function $f: \Bbb C \rightarrow \Bbb C$ such that $|f(z)|\leq C|\negthinspace\cos(z)|$ for all $z \in \Bbb C$

Published on 11 May 2018 - 2:30

score 2.4k · Answer 7 · 2026-03-24 23:52:27

2.4k

Views

Essential singularity at infinity of exponential function.

Published on 24 Mar 2026 - 23:52

score 373 · Answer 8 · 2018-05-19 09:08:26

373

Views

Entire function $f$ with infinitely many zeros

Published on 19 May 2018 - 9:08

score 442 · Answer 9 · 2018-05-20 17:15:16

442

Views

Uniformly continuous entire functions

Published on 20 May 2018 - 17:15

score 910 · Answer 10 · 2018-05-20 22:39:02

910

Views

Examples of different type of entire functions

Published on 20 May 2018 - 22:39

score 152 · Answer 11 · 2018-05-22 01:52:52

152

Views

Entire function having the property

Published on 22 May 2018 - 1:52

score 713 · Answer 12 · 2018-05-23 16:06:44

713

Views

Entire function mapping a parallelogram onto another one is a degree 1 polynomial

Published on 23 May 2018 - 16:06

score 876 · Answer 13 · 2026-03-24 23:42:40

876

Views

Showing $f(z)$ is a rational function

Published on 24 Mar 2026 - 23:42

score 32 · Answer 14 · 2018-05-24 23:59:53

32

Views

Possible existence of entire function

Published on 24 May 2018 - 23:59

score 165 · Answer 15 · 2026-03-24 22:09:31

165

Views

a question about specific entire function

Published on 24 Mar 2026 - 22:09

List Question

Show that there cannot be an entire function that satisfy $|z+(\cos (z)-1)f(z)|\leq 7$

Determine all entire functions which are injective

$P(z)$ be a monic polynomial with complex co-efficients of degree $n$ such that $|P(z)| \le 1, \forall |z| \le 1$ ; then is $P(z)=z^n$?

A nonconstant complex function satisfying $f(z+w)=f(z)f(w)$ and differentiable at the origin is entire

Examples of entire functions with none, one and infinite zeros.

Holomorphic function $f: \Bbb C \rightarrow \Bbb C$ such that $|f(z)|\leq C|\negthinspace\cos(z)|$ for all $z \in \Bbb C$

Essential singularity at infinity of exponential function.

Entire function $f$ with infinitely many zeros

Uniformly continuous entire functions

Examples of different type of entire functions

Entire function having the property

Entire function mapping a parallelogram onto another one is a degree 1 polynomial

Showing $f(z)$ is a rational function

Possible existence of entire function

a question about specific entire function

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