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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | )abbrev package UPXS2 UnivariatePuiseuxSeriesFunctions2
++ Author: Scott C. Morrison
++ Date Created: 5 April 1991
++ Date Last Updated: 5 April 1991
++ Description:
++ Mapping package for univariate Puiseux series.
++ This package allows one to apply a function to the coefficients of
++ a univariate Puiseux series.
UnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2):
SIG == CODE where
Coef1 : Ring
Coef2 : Ring
var1: Symbol
var2: Symbol
cen1: Coef1
cen2: Coef2
UPS1 ==> UnivariatePuiseuxSeries(Coef1, var1, cen1)
UPS2 ==> UnivariatePuiseuxSeries(Coef2, var2, cen2)
ULSP2 ==> UnivariateLaurentSeriesFunctions2(Coef1, Coef2, var1, var2, cen1, cen2)
SIG ==> with
map : (Coef1 -> Coef2,UPS1) -> UPS2
++ \spad{map(f,g(x))} applies the map f to the coefficients of the
++ Puiseux series \spad{g(x)}.
CODE ==> add
map(f,ups) == puiseux(rationalPower ups, map(f, laurentRep ups)$ULSP2)
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