Corollary Let U be an open convex subset of C. Let f: U → C be a holomorphic function. If f' =0 then f is a constant function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 62E
icon
Related questions
Question
Corollary
Let U be an open convex subset of C. Let f: U → C be a
holomorphic function. If f' =0 then f is a constant function.
Transcribed Image Text:Corollary Let U be an open convex subset of C. Let f: U → C be a holomorphic function. If f' =0 then f is a constant function.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax