in a domain $D$ of the complex plane

A single-valued continuous function in $D$ (except, perhaps, for poles). The term "monodromic function" was applied by A.L. Cauchy in connection with the necessity of subdividing the class of analytic functions (cf. Analytic function) into monodromic functions and many-valued analytic functions; at present (1989) the term has gone out of use.

See also Monodromy theorem.

How to Cite This Entry:
Monodromic function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Monodromic_function&oldid=32875
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article