## Question

# Show, if u(x, y) and v(x, y) are harmonic functions, that u + v must be a harmonic function but that uv need not

## Show, if u(x, y) and v(x, y) are harmonic functions, that u + v must be a harmonic function but that uv need not be a harmonic function. Is e"e" a harmonic function?

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### Complex Variables and Applications

**Authors:** James Brown, Ruel Churchill

8th edition

73051942, 978-0073051949

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