# Difference between revisions of "Regular function"

From Encyclopedia of Mathematics

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− | A function | + | A function $f(z)$ of a complex variable $z$ which is single-valued in this domain and which has a finite derivative at every point (see [[Analytic function|Analytic function]]). A regular function at a point $a$ is a function that is regular in some neighborhood of $a$. |

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<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> G. Springer, "Introduction to Riemann surfaces" , Addison-Wesley (1957) pp. 60; 169; 173</TD></TR></table> | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> G. Springer, "Introduction to Riemann surfaces" , Addison-Wesley (1957) pp. 60; 169; 173</TD></TR></table> |

## Revision as of 05:03, 23 December 2012

*in a domain*

A function $f(z)$ of a complex variable $z$ 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 $a$ is a function that is regular in some neighborhood of $a$.

#### 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://www.encyclopediaofmath.org/index.php?title=Regular_function&oldid=29262

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