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Question: what is this expansion

Question:what is this expansion

Lonely 400 Maple
example infinity
November 11 2009
0

 

how to find an expansion of: (we may assume m::posint)

(sum(a^k*b[k], k = 1 .. infinity))^m

for example: the trinomial theor...

(a+b+c)^m = sum((m,k1)*(m-k1,k2)*(m-k1-k2,k3)*c1^(k1)*c2^k2*c3^k3,k1+k2+k3=m)

 

here (m,k1) is the binomial coefficeitn
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