Puiseux series

A formal series of the form


where m and k are integers such that k1 is is called a Puiseux seriesMathworldPlanetmath or a fractional power series. Note that if k>1, then zn/k could be multivalued. One example of the use of such a power seriesMathworldPlanetmath is the Puiseux parametrization of one-dimensional complex analytic varieties.


  • 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