Difference between revisions of "Monodromic function"
From Encyclopedia of Mathematics
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| − | ''in a domain | + | {{TEX|done}} |
| + | ''in a domain $D$ of the complex plane'' | ||
| − | A single-valued continuous function in | + | 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|Analytic function]]) into monodromic functions and many-valued analytic functions; at present (1989) the term has gone out of use. |
See also [[Monodromy theorem|Monodromy theorem]]. | See also [[Monodromy theorem|Monodromy theorem]]. | ||
Latest revision as of 16:59, 12 August 2014
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
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