Examples
The following are some examples of multiple-valued functions. In each case,
the branch is identified with a different color. Click on the following
functions or scroll down to explore.
\(f(z)
= z^{1/2}\) \(f(z)
= z^{1/3}\) \(f(z)
= \sqrt{1-z^2}\) \(f(z)
= \dfrac{1}{\sqrt{1-z^2}}\) \(f(z)
= \arctan(z)\)
Real component of \(f(z)=z^{1/2}\)
Imaginary component of \(f(z)=z^{1/2}\)
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Real component of $f(z)=z^{1/3}$
Imaginary component of $f(z)=z^{1/3}$
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Real component of \(f(z)=\sqrt{1-z^2}\)
Imaginary component of \(f(z)=\sqrt{1-z^2}\)
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Real component of \(f(z)=\frac{1}{\sqrt{1-z^2}}\)
Imaginary component of \(f(z)=\frac{1}{\sqrt{1-z^2}}\)
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Real component of \(f(z)=\arctan(z)\)
Imaginary component of \(f(z)=\arctan(z)\)
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Note: All applets made with MathCell created by Paul Masson . The source
code is available here.
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ISBN: 978-0-6485736-0-9
© Juan Carlos Ponce Campuzano 2019-