Puiseux series
A formal series of the form
where and are integers such that is is called a Puiseux series or a fractional power series. Note that if , then could be multivalued. One example of the use of such a power series is the Puiseux parametrization of one-dimensional complex analytic varieties.
References
- 1 E. M. Chirka. . Kluwer Academic Publishers, Dordrecht, The Netherlands, 1989.
- 2 Alexandru Dimca. . Vieweg, Braunschweig, Germany, 1987.
Title | Puiseux series |
---|---|
Canonical name | PuiseuxSeries |
Date of creation | 2013-03-22 15:20:28 |
Last modified on | 2013-03-22 15:20:28 |
Owner | jirka (4157) |
Last modified by | jirka (4157) |
Numerical id | 5 |
Author | jirka (4157) |
Entry type | Definition |
Classification | msc 32B10 |
Synonym | fractional power series |
Related topic | PuiseuxParametrization |
Related topic | GeneralPower |