Complex Analysis: Theory and Applications · Problem 3.1.10

Analytic and Harmonic Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-differentiation

Problem

Verify the identity: ddzf(z)g(z)h(z)=f′(z)g(z)h(z)+f(z)g′(z)h(z)+f(z)g(z)h′(z).\frac{d}{dz}f(z)g(z)h(z) = f'(z)g(z)h(z) + f(z)g'(z)h(z) + f(z)g(z)h'(z).

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