Lovene for Lysets Forplaotclse. 133 



med Kryslvlaxcii, saa kunne disse tre Fiiuklioucr sæltcs 

 under följjcude Form: 



f (r) = f (r,x) = S x" «Pu (r) 5 

 f,(r) = f,(r,x) = Sx"$;n(r)r 

 f„(r)=f„(r,x) = Sx"a>"n(0^ 



(347) f (r) = f (r,x) = S2^!1^^ = S x« 9n (r) ; 



r 



f, (r) = f, (r,x) = zl_llîAU — S x" cp'n (r) 5 



r 



f„CO = f„(r,x) = S '^" ^""(■•) = S x°«i"'n (r ) / 



r 



Istedetfor Li^ninjjeruc ((17)) vil man da erholde fol- 

 gende: 



f(r + p, x + AO = 



= S x"9n(r)+PSx"dr cp^(r)+A^2nx" "" ^^ O) ^ ;, 



f,(r + P, x + AÖ = 

 (348) _ . 



= S x"9'n (r)+pS x»d, q)'n(r)+A^Sux" cp\^(r) 5 



f„(r+P, x+AO = 



= S x V„ (r)+PS x"dr 9"n(r)+ A^Snx" " \\{v) * 



Substituerer man disse Værdicr i Ligninijcrnc ((8)), 

 saa erholder man istedetfor Liguingernc ((18)) folgende: 



d;^ = S[mA^2x"c?„ (r)]+S[mxpSx^dr^n W ] + 

 + s[mxA^2nx""\(r)] + 

 + S[m' (^'~^+Ar) Sx"9'„(r)]+S[m'xp,2x"d, *'n(»')]+„. 



dt\ = s[m Ati2x\ (r)]+S[myp2x"drC?^, (r) ] + 



