Suppose that it is desired to construct a set of
Chapter 11, Problem 8(choose chapter or problem)
Suppose that it is desired to construct a set of polynomials P0(x), P1(x), ... , Pk(x), ... , where Pk(x) is of degree k, that are orthogonal on the interval 1 x 1; see 7. Suppose further that Pk(x) is normalized by the condition Pk(1) = 1. Find P0(x), P1(x), P2(x), and P3(x). Note that these are the first four Legendre polynomials (see of Section 5.3).
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer