challenge: What is the general form of the Taylor series for the Legendre chi function?
  
  A. ∑[k=0 to ∞] z^(2k+1) / (2k+1)^(ν)
  B. ∑[k=0 to ∞] z^(k) / (k)^(ν)
  C. ∑[k=0 to ∞] z^(2k) / (2k)^(ν)
  D. ∑[k=0 to ∞] z^(k+1) / (k+1)^(ν)
  Answer: 