# LaTeX2HTML 96.1 (Feb 5, 1996)
# Associate images original text with physical files.
$key = q/{}(J_nu(x)simsqrtfrac2pixcos(x-fracnupi2-fracpi4)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(nu){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(N_nu(x)=frac1pi[fracpartialJ_nupartialnu-(-1)^nufracpartialJ_-nupartialnu]){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(N_nu(x)simsqrtfrac2pixsin(x-fracnupi2-fracpi4)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_nu){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(e^xsin(theta)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(Gamma(z)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(f(rho)=sum_n=1^inftyc_nunJ_nu(x_nunfracrhoa)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_nu'){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(k_ia){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(a_2j=frac(-1)^ja_0Gamma(alpha+1)2^2jj!Gamma(j+alpha+1)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_nu(x)=(fracx2)^nusum_j=0^infty(-1)^jfrac1Gamma(j+1)Gamma(nu+j+1)(fracx2)^2j){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(N_nu=fraccos(nupi)J_nu(x)-J_-nu(x)sin(nupi)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_-n(x)=(-1)^n(fracx2)^nsum_j=0^infty(-1)^jfrac1Gamma(j+1)Gamma(j+n+1)(fracx2)^2j){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(a_1=0){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(fracpartial^2Rpartialx^2+frac1xfracpartialRpartialx+(1-fracnu^2x^2)R=0){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(;SPMgt;){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(a_0=(2^gammaGamma(alpha+1))^-1){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_nu(x)=(fracx2)^-nusum_j=0^infty(-1)^jfrac1Gamma(j+1)Gamma(j-nu+1)(fracx2)^2j){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(c_nun=frac2a^2J_nu+1^2(x_nun)int_0^adrho*rhof(rho)J_nu(x_nunfracrhoa)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(a_0neq0){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(nu^2=alpha^2){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(x_nun){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(a_j=-frac1j(j+2alpha)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(int_0^adrho*rhoJ_nu(k_1rho)J_nu(k_2rho)=fraca^22J^2_nu+1(x_nun)delta_k_1k_2){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(nu=n){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_nu-1+J_nu+1=frac2nuxJ_nu){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(k_ia=){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(N_nu(x)rightarrow{arrayccfrac2pi(ln(fracx2)+gamma);SPMamp;nu=0frac-Gamma(nu)pi(frac2x)^nu;SPMamp;nu;SPMgt;0array){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_nu(x)rightarrowfrac1Gamma(nu+1)(fracx2)^nu){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(e^fracx2(t-frac1t)=sum_n=-infty^inftyJ_n(x)t^n){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(=(-1)^nJ_n(x)){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(x^alphasum_j=0^inftya_jx^j){}/;
$cached_env_img{$key} = ' 
';
$key = q/{}(J_v,N_nu){}/;
$cached_env_img{$key} = ' 
';
1;