2 4. Find the most general analytic function f(z) of the variable z = x+iy whose imaginary part is v(x, y) = y- y x² + y² Express your answer explicitly in z, and also give the domain of analyticity of f.
2 4. Find the most general analytic function f(z) of the variable z = x+iy whose imaginary part is v(x, y) = y- y x² + y² Express your answer explicitly in z, and also give the domain of analyticity of f.
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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4. Find the most general analytic function f(z) of the variable z = x+iy whose imaginary
part is
Y
v(x, y) =y= x² + y²
Express your answer explicitly in z, and also give the domain of analyticity of f.
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