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Simple Root


A root having multiplicity n=1 is called a simple root. For example, f(z)=(z-1)(z-2) has a simple root at z_0=1, but g=(z-1)^2 has a root of multiplicity 2 at z_0=1, which is therefore not a simple root.


See also

Multiple Root, Multiplicity, Root

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References

Krantz, S. G. "Zero of Order n." §5.1.3 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 70, 1999.

Referenced on Wolfram|Alpha

Simple Root

Cite this as:

Weisstein, Eric W. "Simple Root." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SimpleRoot.html

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