List questions from rouches-theorem

Published on 26 Apr 2020 - 19:43

130

Views

Show that $f$ has exactly two zeros (counting multiplicity)

Published on 29 Apr 2020 - 14:15

156

Views

Show that $f$ has exactly one zero on the square $Q =$ {$x + iy ∈ \Bbb C : |x| < 1, |y| < 1$}.

Published on 29 Apr 2020 - 16:50

56

Views

Using Rouché's theorem to find zeros

Published on 29 Apr 2020 - 16:55

104

Views

If $f$ is analytic on $\overline{B(0,1)}$, and $|f(z)| < 1$ for $|z|=1$. Find the number of solutions to $f(z) = z^n$

Published on 30 Apr 2020 - 21:22

109

Views

Inequality of $|e^z - 1|$

Published on 18 May 2020 - 21:10

82

Views

An application of Rouché's theorem

Published on 02 Jun 2020 - 18:55

75

Views

Rouché's theorem for $|z|>2$

Published on 10 Jun 2020 - 23:57

386

Views

Rouché's theorem in annulus $1<|z|<2$

Published on 12 Jun 2020 - 20:58

27

Views

Given $f\in Hol(|z|<1)$ and $image(f(z))\subset K\subset D_0(1)$ where K is compact subset Prove that $f$ has one fixed point.

Published on 15 Jun 2020 - 10:07

134

Views

Show that all of the roots of $f(z)= cz^n-e^z$ are from multiplicity of 1

Published on 20 Jun 2020 - 11:45

188

Views

Rouché's theorem, and distinct zeroes.

Published on 21 Jun 2020 - 16:51

45

Views

Yet another Rouché's theorem example for $f(z) = e^z-3z^{2019}$ - solution verification

Published on 24 Jun 2020 - 10:57

241

Views

Rouché's Theorem on $f_n(z)=1+\frac{1}{z}+\dots +\frac{1}{n!z^n}$

Published on 28 Jun 2020 - 18:47

556

Views

Using Rouche's Theorem to find the number of solutions of $f(z)=z$ in the open unit disc

Published on 01 Jul 2020 - 21:49

List Question

Zeroes of $2z^5-15z^2+z+2$

Show that $f$ has exactly two zeros (counting multiplicity)

Show that $f$ has exactly one zero on the square $Q =$ {$x + iy ∈ \Bbb C : |x| < 1, |y| < 1$}.

Using Rouché's theorem to find zeros

If $f$ is analytic on $\overline{B(0,1)}$, and $|f(z)| < 1$ for $|z|=1$. Find the number of solutions to $f(z) = z^n$

Inequality of $|e^z - 1|$

An application of Rouché's theorem

Rouché's theorem for $|z|>2$

Rouché's theorem in annulus $1<|z|<2$

Given $f\in Hol(|z|<1)$ and $image(f(z))\subset K\subset D_0(1)$ where K is compact subset Prove that $f$ has one fixed point.

Show that all of the roots of $f(z)= cz^n-e^z$ are from multiplicity of 1

Rouché's theorem, and distinct zeroes.

Yet another Rouché's theorem example for $f(z) = e^z-3z^{2019}$ - solution verification

Rouché's Theorem on $f_n(z)=1+\frac{1}{z}+\dots +\frac{1}{n!z^n}$

Using Rouche's Theorem to find the number of solutions of $f(z)=z$ in the open unit disc

Trending Questions

Popular # Hahtags

Popular Questions