Infinite function definitions
- To: mathgroup at smc.vnet.net
- Subject: [mg104008] Infinite function definitions
- From: tzygmund mcfarlane <tzygmund at googlemail.com>
- Date: Thu, 15 Oct 2009 07:18:00 -0400 (EDT)
Hi,
I am trying to do something basic, but am unable to. I would like to
define a sequence of functions indexed by \[DoubleStruckCapitalZ]^+.
So (pseudo-code):
for j in {1,2,...}
Subscript[\[Psi], j] := Subscript[f, j][x_] := 1/x^j (** something
slightly more complex than this; direct substitution below difficult
**)
end
I then want to use the Subscript[\[Psi], j] as coefficients in further
calculations (according to the values of the parameter 'x'). So (say)
something like:
x=10
Sum[Subscript[\[Psi], j] y^j, {j, 1, Infinity}]/Sum[y^j, {j, 1,
Infinity}]
Is this possible?
Thanks.