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How can I do this?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg19090] How can I do this?
*From*: "Bill Bertram" <wkb at ansto.gov.au>
*Date*: Thu, 5 Aug 1999 01:35:10 -0400
*Organization*: Australian Nuclear Science and Technology Organisation
*Sender*: owner-wri-mathgroup at wolfram.com
Hi,
I have a problem I hope someone can help me with.
I can do the following:
Define an array of arbitrary length as a = Array[c,n] , where n a given
integer value.
I can then construct a function f[x] as an expansion in terms of known
functions p[k,x] eg Legendre polynomials, as
f[x_]:= Sum[a[[k]] p[k, x], {k, 1, n}]. This then gives a general function
of the form
f[x] = c[1] p[1, x]+c[2]p[2, x] + ...which can be formally operated upon eg
by differentiation or integration.
My question is, How do I go about constructing a function similar to the one
above but now of two variables so that in the expansion
f[t, x] = c[1] p[1, x]+c[2]p[2, x] + ...
the c's are functions of t so that formal differentiations and integrations
with respect to t can be carried out on it.
Thanks,
Bill Bertram
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