Consider the function f (2) = e0 (a) Use the Cauchy-Riemann equations to show that f (2)is not analytic anywhere. (b) Show that if f (2)is purely imaginary, then z = 12 2n +1 T, n= 0,±1,±2,...

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.
icon
Related questions
Question
Consider the function f (2) = e0z
(a) Use the Cauchy-Riemann equations to show that f (2)is not analytic anywhere.
2n +1
(b) Show that if f (2)is purely imaginary, then z =
T, n=0,±1,±2,....
12
Transcribed Image Text:Consider the function f (2) = e0z (a) Use the Cauchy-Riemann equations to show that f (2)is not analytic anywhere. 2n +1 (b) Show that if f (2)is purely imaginary, then z = T, n=0,±1,±2,.... 12
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage