Question

How to expand a function into a power series

Answer 1

How to expand
\[x^{3}-3x^{2} + x\]
into a power series of the form:
\[\sum_{k=0}^{\infty} A_{k}P_{k}\]

Answer 2

Do you know a closed-form expression for the sequence \(\{a_n\}\) of coefficients \(\{0,1,-3,1,0,0,0,\dots\}\)?

Answer 3

no, i don't

Answer 4

ooo, did you mean this?
http://www.idea.wsu.edu/Quantum/legendre_series.htm

Answer 5

yeah, of course

Answer 6

and then, what's the next ?? @oldrin.bataku

Answer 7

Evaluate that integral.