How to use SeriesCoefficient to define new functions
- To: mathgroup at smc.vnet.net
- Subject: [mg122743] How to use SeriesCoefficient to define new functions
- From: Xiaojun <tigertooth4 at gmail.com>
- Date: Tue, 8 Nov 2011 07:17:21 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Hi,
I want to define new functions from the =EB-expansion of an exponential
function as follows:
SchurGenerator := Normal[Series[ Exp[x1*=EB + x2*=EB^2 + x3*=EB^3], {=EB, 0,
3}]].
Each coefficient may define a function of x1, x2, and x3, which I
think should be expressed
as, for example:
p2[x1_, x2_, x3_] := SeriesCoefficient[SchurGenerator, {=EB, 0, 2}].
However, it doesn't seem to work. Since the expected output of
p2[y1,y2,y3] should be
y1^2/2 + y2. But the real output is still x1^2/2 + x2.
How to define new functions from the expansion coefficients? I
appreciate your help !
--
Best wishes,
Liu Xiaojun