Purely Imaginary Number

A complex number z is said to be purely imaginary if it has no real part, i.e., R[z]=0. The term is often used in preference to the simpler "imaginary" in situations where z can in general assume complex values with nonzero real parts, but in a particular case of interest, the real part is identically zero.

See also

Complex Number, Complex Plane, Imaginary Number, Real Part

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Cite this as:

Weisstein, Eric W. "Purely Imaginary Number." From MathWorld--A Wolfram Web Resource.

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