# Regular function

From Encyclopedia of Mathematics

*in a domain*

A function of a complex variable which is single-valued in this domain and which has a finite derivative at every point (see Analytic function). A regular function at a point is a function that is regular in some neighbourhood of .

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#### References

[a1] | G. Springer, "Introduction to Riemann surfaces" , Addison-Wesley (1957) pp. 60; 169; 173 |

**How to Cite This Entry:**

Regular function.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Regular_function&oldid=14473

This article was adapted from an original article by Yu.D. Maksimov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article