3. Show that f(2) = Re(z) is not analytic using the following two methods: Use the Cauchy-Riemann Equation. Use the consequence of Q2.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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How do you solve question 3? Question 2 is provided to answer

2.
Let f(z) : D C be a complex function. Is it possible for both
f(z) and f(z) to be analytic?
• If Yes, give an example.
• If No, explain why.
Transcribed Image Text:2. Let f(z) : D C be a complex function. Is it possible for both f(z) and f(z) to be analytic? • If Yes, give an example. • If No, explain why.
3.
Show that f(z) = Re(z) is not analytic using the following two
methods:
Use the Cauchy-Riemann Equation.
Use the consequence of Q2.
Transcribed Image Text:3. Show that f(z) = Re(z) is not analytic using the following two methods: Use the Cauchy-Riemann Equation. Use the consequence of Q2.
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