Regular function
From HandWiki
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 |
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