Question

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

score 132 · Answer 1 · 2026-04-14 01:29:05

132

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

Published on 14 Apr 2026 - 1:29

score 346 · Answer 2 · 2026-04-14 05:01:53

346

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

Published on 14 Apr 2026 - 5:01

score 37 · Answer 3 · 2026-04-13 20:36:52

37

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Determine number of zeros using Rouché Theorem

Published on 13 Apr 2026 - 20:36

score 230 · Answer 4 · 2026-04-16 07:15:02

230

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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 16 Apr 2026 - 7:15

score 78 · Answer 5 · 2026-04-14 20:03:42

78

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

Published on 14 Apr 2026 - 20:03

score 140 · Answer 6 · 2026-04-09 13:11:02

140

Views

Application of Rouche's theorem in complex analysis

Published on 09 Apr 2026 - 13:11

score 812 · Answer 7 · 2026-04-16 12:18:39

812

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

Published on 16 Apr 2026 - 12:18

score 429 · Answer 8 · 2026-04-14 14:10:09

429

Views

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

Published on 14 Apr 2026 - 14:10

score 198 · Answer 9 · 2026-04-10 17:03:41

198

Views

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

Published on 10 Apr 2026 - 17:03

score 321 · Answer 10 · 2026-04-12 00:47:46

321

Views

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

Published on 12 Apr 2026 - 0:47

score 170 · Answer 11 · 2026-04-17 20:44:19

170

Views

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

Published on 17 Apr 2026 - 20:44

score 53 · Answer 12 · 2026-04-15 04:51:39

53

Views

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

Published on 15 Apr 2026 - 4:51

score 36 · Answer 13 · 2026-04-16 06:57:00

36

Views

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

Published on 16 Apr 2026 - 6:57

score 184 · Answer 14 · 2026-04-16 12:37:25

184

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

Published on 16 Apr 2026 - 12:37

score 997 · Answer 15 · 2026-04-16 02:37:45

997

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

Published on 16 Apr 2026 - 2:37

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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