Let f and g be analytic functions in a domain D. If f '(z) =g'(z)for all z in D,then show that f (z) = g(z) + c , where c is a complex constant.
Let f and g be analytic functions in a domain D. If f '(z) =g'(z)for all z in D,then show that f (z) = g(z) + c , where c is a complex constant.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Let f and g be analytic functions in a domain D. If
f '(z) =g'(z)for all z in D,then show that
f (z) = g(z) + c
, where c is a complex constant.
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