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 04:03, 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://encyclopediaofmath.org/index.php?title=Regular_function&oldid=14473
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