A Puiseux series is a type of power series that allows for fractional exponents and is used in algebraic geometry and the study of singularities. It can be thought of as a generalization of the Taylor series or Laurent series.
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A Puiseux series permits fractional exponents with a fixed common denominator: . These are natural local expansions of branches of algebraic functions. A fractional-power root expansion uses such powers to resolve roots that coalesce as a parameter tends to zero.