View source for Regular function

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''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|Analytic function]]). A regular function at a point $a$ is a function that is regular in some neighborhood of $a$.



====References====
<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>