Show that \(U ( x ^ { 2 } - y ^ { 2 } , 2 x y )\) is harmonic if and only if \(U ( x , y )\) is.
Harmonicity of $U(x^2-y^2,2xy)$
P-UGA8150S21-HW2-02
- Area
- Complex Analysis
- Status
- draft
P-UGA8150S21-HW2-02
Show that \(U ( x ^ { 2 } - y ^ { 2 } , 2 x y )\) is harmonic if and only if \(U ( x , y )\) is.