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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 32 33 34 | --Copyright The Numerical Algorithms Group Limited 1994.
--% Expression To Power Series
-- We compute series expansions of various functions using EXPR2UPS.
-- Author: Clifton J. Williamson
-- Date Created: 1 June 1990
-- Date Last Updated: 1 June 1990
-- Keywords: Taylor, Laurent, Puiseux, series
-- References:
)clear all
-- Test functions in EXPR2UPS:
xT := taylor(x)
sin(tan(xT))
taylor(asec(2+x))
sec %
taylor(sin(x),x = %pi/4)
xL := laurent(x)
1/xL - cot(xL)
laurent(csc(x))
laurent(1/log(x),x = 1)
xP := puiseux(x)
sqrt(xP) - sqrt(sin(xP))
puiseux(sqrt(1 - cos(x))/x)
puiseux(sqrt(1 - tan(x)),x = %pi/2)
xS := series(x)
sin(xS)**(1/3) - sin(xS**(1/3))
series(log(tan(x)))
series(log(cot(x)),x = %pi/2)
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