| LC control no. | sh 85052329 |
|---|---|
| LC classification | QA345 |
| Topical heading | Functions, Abelian |
| Variant(s) | Abelian functions Abelian integrals Hyper-elliptic integrals Hyperelliptic functions Hyperelliptic integrals Integrals, Abelian |
| See also | Elliptic functions Functions of complex variables |
| Found in | Encyc. math. (a generalization of the concept of an elliptic function of one complex variable to the case of several complex variables) Eric Weisstein's world of mathematics, via WWW, Jan. 27, 2003: Abelian function (an inverse function of an Abelian integral; Abelian functions are a generalization of elliptic functions, and are also called hyperelliptic functions) Abelian integral (also called hyperelliptic integrals) Encyc. of mathematics on CD-ROM, 1997: hyper-elliptic integral (the special case of an Abelian integral) The MacTutor history of mathematics archive, via WWW, Jan. 30, 2003: index of glossary terms (Abelian or hyperelliptic function. An abelian or hyperelliptic function is a generalisation of an elliptic function. It is a function of two variables with four periods. In a similar way to an elliptic function it can also be regarded as the inverse function to certain integrals (called Abelian or hyperelliptic integrals) of the form [integral of] dz/[square root of] R(z) where R is a polynomial of degree greater than 4) |
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