# Continuity of Polynomials in the Complex Plane

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This Demonstration shows polynomials with zeros (or roots) of varying multiplicity in the complex plane. The object is to show that such a polynomial is a continuous function at a selected point .

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Contributed by: Izidor Hafner (March 2016)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

References

[1] F. A. Farris, *Creating Symmetry: The Artful Mathematics of Wallpaper Patterns*, Princeton: Princeton University Press, 2015 pp. 35–36.

[2] A. Sveshnikov and A. Tikhonov, *Theory of Functions of a Complex Variable*, Moscow: Mir Publishers, 1971 pp. 24–25.

## Permanent Citation

"Continuity of Polynomials in the Complex Plane"

http://demonstrations.wolfram.com/ContinuityOfPolynomialsInTheComplexPlane/

Wolfram Demonstrations Project

Published: March 14 2016