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Legendre 3-term recurrence

Roy Vincent L. Canseco, MSEE      Jan. 2014

Orthogonal polynomials have a property that they satisfy a three-term recurrence of the form

The Legendre polynomials satisfy the following three-term recurrence

Start with k=1  to obtain   P2  given that   P0=1   and   P1=t

k=2  ,  to obtain P3

k=3 , to obtain P4

lastly,  k=4 , to obtain P5