Hello everyone: I'm trying to compare some functionality in Sage with that of Mathematica. For my assignment, I have to take this series:
sum((-1)^n*((x)^(2*n+1))/factorial(2*n+1),n,0,oo) And put it into a mathematical software to see what function it is equivalent to. In this case, this series is supposed to be equivalent to the sine function. Indeed, when I put the following code in Mathematica, it says that it is the Sine function: Sum((-1)^n*((x)^(2*n+1))/((2*n+1)!),{n,0,Infinity}) I was hoping that there would be something similar to this in Sage. I'm trying to symbolically use the sum function with the following code: x = var("x") n = var("n") k = var("k") show(sum(((-1)^n)*((x)^(2*n+1))/factorial(2*n+1),n,0,oo)) What it outputs is not the sine function. Instead, it says that it is equivalent to: 1/2*sqrt(2)*sqrt(pi)*sqrt(x)*bessel_J(1/2, x) I don't know why exactly it says this but I was wondering if there was any way for Sage to do what Mathematica is doing here, in recognizing the popular series and outputting that when I try to symbolically evaluate this sum. 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 sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.