7.6. Show that there are no analytic functions of the form f = u+iv with u = x² + y².

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
Question
7.6. Show that there are no analytic functions of the form f = u+iv
with u = x² + y².
Transcribed Image Text:7.6. Show that there are no analytic functions of the form f = u+iv with u = x² + y².
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