Hey everyone: So, I have the following function: (2t^3+1)/((t^2+t+1)^2(t-1)^2)
I want to take get the Laurent series expansion of it. It can be seen through Wolfram Alpha here: http://www.wolframalpha.com/input/?i=laurent+series+expansion+of+%282t^3%2B1%29%2F%28%28t^2%2Bt%2B1%29^2%28t-1%29^2%29 >From my understanding, it's just the taylor series expansion at t = 1. I try using the laurent_series function on sage as follows: k.<t> = QQ[[]] f = (2t^3+1)/((t^2+t+1)^2(t-1)^2) g = f.laurent_series(); g What I get as an output is this: 1 + 4*t^3 + 7*t^6 + 10*t^9 + 13*t^12 + 16*t^15 + 19*t^18 + O(t^20) This isn't the Laurent Series, this is just the taylor series at t=0. Similarly, even in the example in the Sage docs, the laurent series of the power series in the example simply outputs the power series it started with. sage: k.<w> = QQ[[]] sage: f = 1+17*w+15*w^3+O(w^5) sage: parent(f) Power Series Ring in w over Rational Field sage: g = f.laurent_series(); g 1 + 17*w + 15*w^3 + O(w^5) Now, I know I can get the output I want by asking for the taylor series expansion about the point 1, however I was wondering why this function wasn't working. Or, am I not understanding this correctly. Thank you! -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
