Question

What is the radius of convergence of $\frac{\sinh(z)}z$ about $z=\pi$

score 148 · Answer 1 · 2021-10-27 23:36:53

148

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What is the radius of convergence of $\frac{\sinh(z)}z$ about $z=\pi$

Published on 27 Oct 2021 - 23:36

score 455 · Answer 2 · 2021-10-28 15:34:05

455

Views

Suppose that $f(z) = \frac{z}{1-z}$. Use Cauchy-Riemann Equations to determine the analyticity of $f(z)$. Then find the derivative of $f(z)$.

Published on 28 Oct 2021 - 15:34

score 118 · Answer 3 · 2021-11-03 01:27:57

118

Views

Complex Analysis: Analytical Function $ f(z) ={z^{2}}/({\mathrm{e}^{x} \cos y+i \mathrm{e}^{x} \sin y})\,$?

Published on 03 Nov 2021 - 1:27

score 54 · Answer 4 · 2021-11-06 21:53:47

54

Views

Cauchy's integral theorem and Green's Theorem clarification

Published on 06 Nov 2021 - 21:53

score 343 · Answer 5 · 2021-11-07 06:56:00

343

Views

Analytic function with constant imaginary part

Published on 07 Nov 2021 - 6:56

score 1.7k · Answer 6 · 2021-11-07 07:17:58

1.7k

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Find harmonic conjugate $v$ of $u(x,y)$ $=$ $e^{-2xy} \sin(x^2 - y^2) $

Published on 07 Nov 2021 - 7:17

score 53 · Answer 7 · 2021-11-07 12:21:19

53

Views

Proving whether a complex function is analytical help!

Published on 07 Nov 2021 - 12:21

score 135 · Answer 8 · 2021-11-17 16:21:57

135

Views

Complex Analysis - Cauchy-Riemann exercise

Published on 17 Nov 2021 - 16:21

score 130 · Answer 9 · 2021-11-18 16:01:51

130

Views

Prove that if $f:\Bbb C\rightarrow C$ is a complex function whose components are of class $C^1$ then $f$ is differentiable.

Published on 18 Nov 2021 - 16:01

score 995 · Answer 10 · 2021-11-28 18:18:25

995

Views

Is $e^{\sin z}$ an analytic function?

Published on 28 Nov 2021 - 18:18

score 172 · Answer 11 · 2021-11-30 20:17:34

172

Views

How can I find all holomorphic functions $f:\mathbb C \to \mathbb C$ having $f=u+iv$ with $v(x,y)=u^2(x,y)$

Published on 30 Nov 2021 - 20:17

score 170 · Answer 12 · 2021-12-01 03:56:17

170

Views

Cauchy Riemann Equations Sufficient Condition Proof, continuity not required at all partial derivatives?

Published on 01 Dec 2021 - 3:56

score 162 · Answer 13 · 2021-12-05 16:34:52

162

Views

If $f = u +iv$ is differentiable, then how to prove that its components $u$ and $v$ are differentiable?

Published on 05 Dec 2021 - 16:34

score 54 · Answer 14 · 2021-12-20 14:31:22

54

Views

Rapid procedure to construct an analytic function from a real part

Published on 20 Dec 2021 - 14:31

score 50 · Answer 15 · 2022-01-06 10:02:12

50

Views

If f(z) is analytic then u(x,y)=Re(f(x+iy)) is harmonic

Published on 06 Jan 2022 - 10:02

List Question

What is the radius of convergence of $\frac{\sinh(z)}z$ about $z=\pi$

Suppose that $f(z) = \frac{z}{1-z}$. Use Cauchy-Riemann Equations to determine the analyticity of $f(z)$. Then find the derivative of $f(z)$.

Complex Analysis: Analytical Function $ f(z) ={z^{2}}/({\mathrm{e}^{x} \cos y+i \mathrm{e}^{x} \sin y})\,$?

Cauchy's integral theorem and Green's Theorem clarification

Analytic function with constant imaginary part

Find harmonic conjugate $v$ of $u(x,y)$ $=$ $e^{-2xy} \sin(x^2 - y^2) $

Proving whether a complex function is analytical help!

Complex Analysis - Cauchy-Riemann exercise

Prove that if $f:\Bbb C\rightarrow C$ is a complex function whose components are of class $C^1$ then $f$ is differentiable.

Is $e^{\sin z}$ an analytic function?

How can I find all holomorphic functions $f:\mathbb C \to \mathbb C$ having $f=u+iv$ with $v(x,y)=u^2(x,y)$

Cauchy Riemann Equations Sufficient Condition Proof, continuity not required at all partial derivatives?

If $f = u +iv$ is differentiable, then how to prove that its components $u$ and $v$ are differentiable?

Rapid procedure to construct an analytic function from a real part

If f(z) is analytic then u(x,y)=Re(f(x+iy)) is harmonic

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