Question

Using Rouche's theorem to show function is a bijection in a neighborhood of 0

score 129 · Answer 1 · 2020-08-11 04:41:08

129

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Using Rouche's theorem to show function is a bijection in a neighborhood of 0

Published on 11 Aug 2020 - 4:41

score 343 · Answer 2 · 2020-08-13 19:08:01

343

Views

Rouche's Theorem applied to a sequence of analytic functions converging to a non-constant function with zero in a domain

Published on 13 Aug 2020 - 19:08

score 34 · Answer 3 · 2020-08-27 18:24:39

34

Views

Determine number of zeros using Rouché Theorem

Published on 27 Aug 2020 - 18:24

score 227 · Answer 4 · 2020-10-11 14:46:36

227

Views

On Rouche's theorem: Find the value of $c$ such that $z^5 -3z^2 +1= 0$ has no zeros in $|z| > c$

Published on 11 Oct 2020 - 14:46

score 75 · Answer 5 · 2020-10-31 14:24:02

75

Views

Rouché's theorem for $z^7-5z+1$ if $|z|>1$ and $|z|<3$

Published on 31 Oct 2020 - 14:24

score 137 · Answer 6 · 2020-11-23 20:53:13

137

Views

Application of Rouche's theorem in complex analysis

Published on 23 Nov 2020 - 20:53

score 809 · Answer 7 · 2020-12-06 15:57:18

809

Views

Using Rouche's theorem to find location of roots of the polynomial $z^4+ 4z-1$

Published on 06 Dec 2020 - 15:57

score 427 · Answer 8 · 2020-12-06 17:46:05

427

Views

Need help in proving that 3 roots of $z^4-6z+3=0$ lies in $|z|<2$

Published on 06 Dec 2020 - 17:46

score 195 · Answer 9 · 2020-12-07 05:31:07

195

Views

How to show that this polynomial has all it's roots in in the disk $|z|<3$

Published on 07 Dec 2020 - 5:31

score 318 · Answer 10 · 2020-12-10 03:31:54

318

Views

Applying Argument Principle to find zeroes in a quadrant when there is a real root

Published on 10 Dec 2020 - 3:31

score 167 · Answer 11 · 2021-02-10 21:03:51

167

Views

Find the number of roots of $z^2 - \cos z=0$ for $|z| < 2$ using Rouche's theorem

Published on 10 Feb 2021 - 21:03

score 50 · Answer 12 · 2021-03-04 04:09:51

50

Views

Determine the values of $k$ so that the following linear system has unique, infinite or no solutions.

Published on 04 Mar 2021 - 4:09

score 33 · Answer 13 · 2021-04-09 10:39:47

33

Views

$f(z)\ne 0$ if $|z|<1/2$ in this situation?

Published on 09 Apr 2021 - 10:39

score 181 · Answer 14 · 2021-04-18 04:28:49

181

Views

Determine the number of zeros $\frac{1}{4} z ^{6} + z^{4}-z^{3}+1$ has inside the unit circle

Published on 18 Apr 2021 - 4:28

score 994 · Answer 15 · 2021-04-25 11:52:17

994

Views

Prove $P(z)=z^4+2z^3+3z^2+z+2$ has exactly two zeros in the right half plane

Published on 25 Apr 2021 - 11:52

List Question

Using Rouche's theorem to show function is a bijection in a neighborhood of 0

Rouche's Theorem applied to a sequence of analytic functions converging to a non-constant function with zero in a domain

Determine number of zeros using Rouché Theorem

On Rouche's theorem: Find the value of $c$ such that $z^5 -3z^2 +1= 0$ has no zeros in $|z| > c$

Rouché's theorem for $z^7-5z+1$ if $|z|>1$ and $|z|<3$

Application of Rouche's theorem in complex analysis

Using Rouche's theorem to find location of roots of the polynomial $z^4+ 4z-1$

Need help in proving that 3 roots of $z^4-6z+3=0$ lies in $|z|<2$

How to show that this polynomial has all it's roots in in the disk $|z|<3$

Applying Argument Principle to find zeroes in a quadrant when there is a real root

Find the number of roots of $z^2 - \cos z=0$ for $|z| < 2$ using Rouche's theorem

Determine the values of $k$ so that the following linear system has unique, infinite or no solutions.

$f(z)\ne 0$ if $|z|<1/2$ in this situation?

Determine the number of zeros $\frac{1}{4} z ^{6} + z^{4}-z^{3}+1$ has inside the unit circle

Prove $P(z)=z^4+2z^3+3z^2+z+2$ has exactly two zeros in the right half plane

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