# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.

$key = q/{}(int_-1^1dxP_l(x)P_l'(x)=frac22l+1delta_ll'){}/;
$cached_env_img{$key} = ' <IMG WIDTH=221 HEIGHT=25 ALIGN=BOTTOM ALT="tex2html_wrap159" SRC="img5.gif"  > '; 
$key = q/{}(=qsum_l=0^inftyP_l(cos(theta))fracr_;SPMgt;^lr^l+1_;SPMlt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=190 HEIGHT=38 ALIGN=BOTTOM ALT="tex2html_wrap167" SRC="img12.gif"  > '; 
$key = q/{}(r_;SPMlt;=min(r,r')){}/;
$cached_env_img{$key} = ' <IMG WIDTH=126 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap169" SRC="img14.gif"  > '; 
$key = q/{}(g(t,x)=frac1sqrt1-2xt+t^2=sum_l=0^inftyP_l(x)t^l){}/;
$cached_env_img{$key} = ' <IMG WIDTH=279 HEIGHT=27 ALIGN=BOTTOM ALT="tex2html_wrap162" SRC="img8.gif"  > '; 
$key = q/{}(;SPMlt;){}/;
$cached_env_img{$key} = ' <IMG WIDTH=10 HEIGHT=13 ALIGN=BOTTOM ALT="tex2html_wrap165" SRC="img10.gif"  > '; 
$key = q/{}(P_l(x)=A(x^l-;SPMlt;P_l-1|x^l;SPMgt;P_l-1-...){}/;
$cached_env_img{$key} = ' <IMG WIDTH=307 HEIGHT=22 ALIGN=BOTTOM ALT="tex2html_wrap161" SRC="img7.gif"  > '; 
$key = q/{}(P_l(x)=frac12^ll!fracd^ldx^l(x^2-1)^l){}/;
$cached_env_img{$key} = ' <IMG WIDTH=190 HEIGHT=26 ALIGN=BOTTOM ALT="tex2html_wrap160" SRC="img6.gif"  > '; 
$key = q/{}((l+1)P_l+1-(2l+1)xP_l-lP_l-1=0){}/;
$cached_env_img{$key} = ' <IMG WIDTH=308 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap158" SRC="img4.gif"  > '; 
$key = q/{}(P_l(1)=1){}/;
$cached_env_img{$key} = ' <IMG WIDTH=76 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap157" SRC="img3.gif"  > '; 
$key = q/{}(P_l(-x)=(-1)^lP_l(x)){}/;
$cached_env_img{$key} = ' <IMG WIDTH=174 HEIGHT=22 ALIGN=BOTTOM ALT="tex2html_wrap156" SRC="img2.gif"  > '; 
$key = q/{}(|){}/;
$cached_env_img{$key} = ' <IMG WIDTH=2 HEIGHT=20 ALIGN=BOTTOM ALT="tex2html_wrap163" SRC="img9.gif"  > '; 
$key = q/{}(P_l(x)=sum_k=0^[l2](-1)^kfrac(2l+k)!2^lk!(l-k)!(l-2k)!x^l-2k){}/;
$cached_env_img{$key} = ' <IMG WIDTH=313 HEIGHT=30 ALIGN=BOTTOM ALT="tex2html_wrap155" SRC="img1.gif"  > '; 
$key = q/{}(Phi(r^i)=fracq|r^i-r'^i|=fracqsqrtr^2+r'^2-2r^ir'^i=fracqrfrac1sqrt1-2fracr'rcos(theta)+fracr'^2r^2){}/;
$cached_env_img{$key} = ' <IMG WIDTH=414 HEIGHT=44 ALIGN=BOTTOM ALT="tex2html_wrap166" SRC="img11.gif"  > '; 
$key = q/{}(r_;SPMgt;=max(r,r')){}/;
$cached_env_img{$key} = ' <IMG WIDTH=129 HEIGHT=21 ALIGN=BOTTOM ALT="tex2html_wrap168" SRC="img13.gif"  > '; 

1;

