江画工太猩院 当a=-1±时,有 1-x+x2-x3+…+(-1)"x"+…(-1,1) 1+r 1+x=1+2x-242:46 1.3 x+…+(n1(2n-3)!n (2n) 2421x3+…+(1)22n-1) 1.3 1.3.5 1--x+—x /1+x 2n 双阶)江西理工大学理学院 当 时, 有 21 α = −1,± 1 ( 1) ( 1,1) 1 1 2 3 = − + − + + − + − + x x x L n x n L x [ 1,1] (2 )!! (2 3)!! ( 1) 2 4 6 1 3 2 41 21 1 1 2 3 1 − + − + + − ⋅ ⋅ ⋅ + ⋅ + = + − L n− x n L n n x x x x ( 1,1] (2 )!! (2 1)!! ( 1) 2 4 6 1 3 5 2 4 1 3 21 1 11 2 3 − + − + + − ⋅ ⋅ ⋅ ⋅ − ⋅ ⋅ = − + + L n x n L n n x x x x 双阶乘