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Show that the given function is not analytic at any point. (Assume z = x + ¡y.) f(z) = x² + y² UE av 0x The Cauchy-Riemann equations hold only at (x, y) = S 11 du ax av ду อน ay FI BE HE Since there

Show that the given function is not analytic at any point. (Assume z = x + ¡y.) f(z) = x² + y² UE av 0x The Cauchy-Riemann equations hold only at (x, y) = S 11 du ax av ду อน ay FI BE HE Since there

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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in equations hold only at (x, y) = [ Since there is no neighborhood about this point within which fis differentiable we conclude f Is nowhere analytic. k
Transcribed Image Text:in equations hold only at (x, y) = [ Since there is no neighborhood about this point within which fis differentiable we conclude f Is nowhere analytic. k
Show that the given function is not analytic at any point. (Assume z = x + ¡y.) f(z) = x² + y² UE av 0x The Cauchy-Riemann equations hold only at (x, y) = S 11 du ax av dy au ду BI BE HE Since there
Transcribed Image Text:Show that the given function is not analytic at any point. (Assume z = x + ¡y.) f(z) = x² + y² UE av 0x The Cauchy-Riemann equations hold only at (x, y) = S 11 du ax av dy au ду BI BE HE Since there
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