Question

Find the number of roots of the polynomial $P(z)=z^5+2z^3+3$ in the closed unit disk $\{z\colon |z|\le 1\}$.

score 188 · Answer 1 · 2019-07-21 02:41:47

188

Views

Find the number of roots of the polynomial $P(z)=z^5+2z^3+3$ in the closed unit disk $\{z\colon |z|\le 1\}$.

Published on 21 Jul 2019 - 2:41

score 117 · Answer 2 · 2019-07-26 16:12:47

117

Views

Can you help on complex analysis problem

Published on 26 Jul 2019 - 16:12

score 123 · Answer 3 · 2019-08-18 13:37:44

123

Views

Applying Rouché's theorem in a square

Published on 18 Aug 2019 - 13:37

score 249 · Answer 4 · 2019-08-27 09:45:52

249

Views

rouche's theorem without strict inequality

Published on 27 Aug 2019 - 9:45

score 997 · Answer 5 · 2019-10-10 01:39:06

997

Views

show $\frac{z}{(1+z)^2}$ is injective in the unit disk

Published on 10 Oct 2019 - 1:39

score 76 · Answer 6 · 2019-10-30 21:40:33

76

Views

Prove given function is not injective

Published on 30 Oct 2019 - 21:40

score 60 · Answer 7 · 2019-11-08 02:43:55

60

Views

Which of the following is true?[Using Formal approach]

Published on 08 Nov 2019 - 2:43

score 199 · Answer 8 · 2019-11-14 19:23:28

199

Views

Roots of a polynomial on the unit circle

Published on 14 Nov 2019 - 19:23

score 53 · Answer 9 · 2019-11-21 16:00:46

53

Views

Find the number of zeroes of a function $z^3+z^2 +z+1$ lying inside $|z|=2$ by Rouche's theorem?

Published on 21 Nov 2019 - 16:00

score 188 · Answer 10 · 2019-12-24 19:29:53

188

Views

Non-real roots of $z^2=\sin(z)$

Published on 24 Dec 2019 - 19:29

score 325 · Answer 11 · 2020-01-03 10:59:57

325

Views

Compute the roots of $z^{5}-4z^{3}+6=0$ in the closed first quadrant

Published on 03 Jan 2020 - 10:59

score 1k · Answer 12 · 2020-03-24 09:49:33

1k

Views

Show that the equation $e^z=az^n$ has $n$ solutions in the unit disc centred at the origin counting multiplicity.

Published on 24 Mar 2020 - 9:49

score 261 · Answer 13 · 2020-04-04 04:47:11

261

Views

Showing $1-2z^2-2z^3-2z^4-2z^5$ has a unique root inside the disk of radius 0.6

Published on 04 Apr 2020 - 4:47

score 209 · Answer 14 · 2020-04-25 22:11:51

209

Views

Rouché's Theorem with $h(z)=z^3+8z+23$

Published on 25 Apr 2020 - 22:11

score 176 · Answer 15 · 2020-04-26 14:12:29

176

Views

Number of zeros inside and outside unit disc

Published on 26 Apr 2020 - 14:12

List Question

Find the number of roots of the polynomial $P(z)=z^5+2z^3+3$ in the closed unit disk $\{z\colon |z|\le 1\}$.

Can you help on complex analysis problem

Applying Rouché's theorem in a square

rouche's theorem without strict inequality

show $\frac{z}{(1+z)^2}$ is injective in the unit disk

Prove given function is not injective

Which of the following is true?[Using Formal approach]

Roots of a polynomial on the unit circle

Find the number of zeroes of a function $z^3+z^2 +z+1$ lying inside $|z|=2$ by Rouche's theorem?

Non-real roots of $z^2=\sin(z)$

Compute the roots of $z^{5}-4z^{3}+6=0$ in the closed first quadrant

Show that the equation $e^z=az^n$ has $n$ solutions in the unit disc centred at the origin counting multiplicity.

Showing $1-2z^2-2z^3-2z^4-2z^5$ has a unique root inside the disk of radius 0.6

Rouché's Theorem with $h(z)=z^3+8z+23$

Number of zeros inside and outside unit disc

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