Exercise · ZW-HOLOMORPHIC-FUNCTION-001 · ★☆☆ Basic
Which of these functions is holomorphic on all of \(\mathbb{C}\)?
Choose one option.
Show answer
- B. \(z^3+2z\)
Explanation
Polynomials in \(z\) are differentiable at every point. The other three fail Cauchy-Riemann at almost every point.
Review the concept: Holomorphic function
A complex function \(f\) is holomorphic on an open set \(U\) of the plane if it is complex differentiable at every point of \(U\).
More practice problems: holomorphic function
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