# Question:inverting a function leads to collect(fn,V) giving V^P*V^2 + V^P*V^3 + ...

February 11 2014
Maple

0

I am trying to invert a function and, during the course, wind up with something like,

a_1*V^P*V + a_2*V^P*V^2 + a_3*V^P*V^3 + a_4*V^P*V^3 + a_5*V^P*V^3 + a_6*V^P*V^4 + \cdots

is there a way to get the poly into a form

(a_1+a_2+...)*V^P + (b_1+b_2+...)*V^(P+1) + (c_1+c_2+...)*V^(P+2) + .....

?

Thanks. Attached is my Maple 16 sheet.

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Rearranging "main" leads to the following.

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It can't take a series due to the series about zero, so I split it into

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Then I'll get a polynomial expression, switch places of the two variables' leading terms, and substitute into the "original" polynomial (split).

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