Quasi-Abelian function

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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.


[1] F. Severi, "Funzioni quasi abeliane" , Città del Vaticano (1947)
How to Cite This Entry:
Quasi-Abelian function. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article