# Continuity of a Complex Function

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Let be a complex function where and are open subsets in . The function is continuous at the point if for every there is a such that for all points that satisfy the inequality , the inequality holds.

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Contributed by: Izidor Hafner (February 2016)

Open content licensed under CC BY-NC-SA

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References

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

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

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