Let ƒ(z) = f(x + y) = (x² - y² − 2x) +i (2y - 2xy) be a complex function. Where is the function differentiable ? Where is the function analytic ? Where are the singular points of f? Justify your answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let ƒ(z) = f(x + iy) = (x² − y² − 2x) +i (2y — 2xy) be a complex function.
Where is the function differentiable? Where is the function analytic ?
Where are the singular points of f? Justify your answers.
Transcribed Image Text:Let ƒ(z) = f(x + iy) = (x² − y² − 2x) +i (2y — 2xy) be a complex function. Where is the function differentiable? Where is the function analytic ? Where are the singular points of f? Justify your answers.
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