abstract:In mathematics, Puiseux series are a generalization of power series, first introduced by Isaac Newton in 1676 and rediscovered by Victor Puiseux in 1850,Puiseux (1850, 1851) that allows for negative and fractional exponents of the indeterminate T. A Puiseux series in the indeterminate T is a Laurent series in T1/n, where n is a positive integer.