4. Æèøýýëáýë: 1 ,õýðýâ n 0 x n (1) x x n-1 ,õýðýâ n 2 1 , õýðýâ n 0 P n (x) x , õýðýâ n 1 (2) (2n-1) x P n-1 (x) (n 1) P n 2 (x) , õýðýâ n 2 n
5. ôóíêö¿¿äýä ðåêóðñèâ ôóíêö þì. Òóõàéëáàë (2) òîìü¸íä P n (x) ôóíêö íü P n-1 (x) P n-2 (x) õî¸ðîîð òîäîðõîéëîãäîæ áàéíà. Æèøýýëáýë : (2 2 1) x P 1 (x) (2 1) P 0 (x) 3 x x 1 1 3x 2 1 P 2 (x)= 2 2 2 (2 3 1) x P 2 (x) (3 1) P 1 (x 5 x ((3x 2 1)/2) 2 x P 3 (x) 5x 3 3x = 3 2 2