SOLUTION: Hi, Is there a general closed form formula for finding an expansion expression of the following "formal" finite product? (1+x^(a1)*z)(1+x^(a2)*z).......(1+x^(an)*z) Where, all e

Algebra ->  Sequences-and-series -> SOLUTION: Hi, Is there a general closed form formula for finding an expansion expression of the following "formal" finite product? (1+x^(a1)*z)(1+x^(a2)*z).......(1+x^(an)*z) Where, all e      Log On


   

Question 850726: Hi,
Is there a general closed form formula for finding an expansion expression of the following "formal" finite product?
(1+x^(a1)*z)(1+x^(a2)*z).......(1+x^(an)*z)
Where, all exponent a1 through an is a random natural number.
I am looking for a nice compact formula like Cauchy product formula as seen in G. Chrystal Algebra part II, 316ff.
Thanks
Charles
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
If the exponent is random then there is no formula. That is what random means!