LEGENDRE POLYNOMIALS AND APPLICATIONS Legendre …
LEGENDRE POLYNOMIALS AND APPLICATIONS 3 If λ = n(n+1), then cn+2 = (n+1)n−λ(n+2)(n+1)cn = 0. By repeating the argument, we get cn+4 = 0 and in general cn+2k = 0 for k ≥ 1. This means • if n = 2p (even), the series for y1 terminates at c2p and y1 is a polynomial of degree 2p.The series for y2 is infinite and has radius of convergence equal to 1 and y2 is …
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