# Quasi-Abelian function

From Encyclopedia of Mathematics

A generalization of an Abelian function. A meromorphic function , , in the complex space , , is called a quasi-Abelian function if it has , , linearly independent periods; in the case of Abelian functions . Quasi-Abelian functions can be regarded as a limiting case of Abelian functions when certain periods increase unboundedly.

#### References

[1] | F. Severi, "Funzioni quasi abeliane" , Città del Vaticano (1947) |

**How to Cite This Entry:**

Quasi-Abelian function.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Quasi-Abelian_function&oldid=17494

This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article