Legendre Functions Low order functions P()=t Arbitrary n P2()=(312-1) 2 values are P3()=(5t3-3) generated by recursive P24(t)=(35t-3012+3 algorithms 02/1302 12.540Lec0302/13/02 12.540 Lec 03 7 Legendre Functions • Low order functions. Arbitrary n values are generated by recursive algorithms Po ( t ) = 1 P1( t ) = t P2 ( t ) = 1 2 (3 t 2 −1) P3 ( t ) = 1 2 (5 t 3 − 3 t ) P4 ( t ) = 1 8 (3 5 t 4 − 30 t 2 +3)