Can I turn any multivariate function into polinomial series in Mathematica?

Suppose I have a function

Fwd[x_, α_] := x (1/Sin[Pi x/2])^α

and wish to express it with a formula, consisting only of multiplications and summations. Is it possible?

If I apply

Normal[Series[Fwd[x, α], {x, 0, 3}, {α, 0, 3}]]

I get complex formula

enter image description here

which contains Log function. Why?


You get log because:

Fwd[x_,\[Alpha]_]:=x (1/Sin[Pi x/2])^\[Alpha] = x* Exp[\[Alpha]*Log[1/Sin[Pi x/2]]]

and the log is from the expansion with respect to alpha.

| improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.