1、 + yf -1 - + yf siiiiiiiiiiiiiiiiiiiiiiiiiiii T of 5#siiiiiiiiiiiiiiiiiiiiiiiiiiii k 11P( )d 0nxx= 1, 2, 3,n=L. 9 1221P( )dI xxx=. s 0, 2 / 3; 2, 4 /15; 0,2, 0nI nI n I= = = ps10P( )dlI xx=s0, 1; 1, 1/ 2; 2 , 1, 0;(2 1)!21, 1, (1)(2 2)!klI lI lkkIklkk Ik= = = =+ =+ ps10P( )dlI xxx=s120, 1/ 2; 1, 1/
2、3; 2 1, 1, 0;(2 2)!2 , 1, ( 1)2( 1)!( 1)!kklI lI lkk Iklkk Ikk+= = =+ =+ 31332() ()55x Px Px=+ 111100(1)()d ()dmmnnmn xPxxmxP xx+ = 12212(2 1)(1 ) ( ) d , 0,1, 2, .21nnnxPx x nn+=+L9 11(1) = P ( )d ; (2) = (2 3 )P ( )dnnI xxx I x xx+s (1) 1, 2 / 3; 1, 0;(2) 0, 4; 1, 2, 0,1, 0nI nI nI nI n I= = = = p
3、 o =f u P HHq21|cosru = s2212(, ) (cos )33ur P r =+ p/ 52222111() (sin)0, (01)sin| cos 2cos ruurrrr r ru= +=+=221)0,(,0)0,(),0(,0),1()1,0(,1rrurututurturuautrrrrttb s M E p5 ! )()(),( tTrRtru = Z Zs i 7s “ 5 0)()(2=+ tTatT 1 + yf -6 - +Sturm-Liouville5 222d(1 ) ( ) ( ) 0, (| | 1)d1mx y yx yx xxx +=
4、5 =_;f “ _. 3X 01() 1, () ,Px Px x=52( ) _;Px= 7f 21() 3 52fx x x= + ()lPxZ 7 T( ) _ .fx= 4. 0u= o = ( , , ) _ .ur = = (20s ) + yf 19 s 113010(1) = P ( )d ; (2) = J ( )danI xx I x xx (20s ) Tw T9 s 10P( )d ,( 0,1,2, )kIxxk=L. b ( ob O 0E , o0r bk p o = b (20s ) !B V 7H , S ()f .“ D p B H Ysb 02 0()
5、,(mmfxx = , :f , N Hs $ (20s ) 8 k5sB 1s 0; 2s (1), 0,1,2,;P()mlll l x =+ =L;3s 221 031 1;2P ( ) 5P( ) P ( )22xx xx+ 4s . 00(, , ) ( cos sin ) P(cos )llllmmmlmur A m B m r =+=s3212(1) 0, 2; 0, 0. (2) J ( ) 2 J ( )nInI Iaaaa= = s(1) 0, 1; (2) 1, 1 / 2; (3) 2 ( 1, 2, ), 0;(2 1)!(4) 2 1 ( 1,2, ), ( 1)(2 2)!nkI kI knn Inkn n In= = = = =+ = =+LL + yf -10 - s o =003cos2uA Er =+; o 300 00211cos cos2uAEr rEr = +b i 0A VYV? , b s021()00200112(,) ()J( )d J( )J( )mDx tmmmmufxexx = 020() 00011(,) 2 J( )J( )mDx tmmmmxuexx = + yf -11 -
