12«2 

 and 80 



p[h){ar1 ,iY) = r{n) ....... (21) 



We have so foiiiid the tbiiniilae 



(/ ,{h) = «<f,{a) -(- t^Y i'(a), I 



rm=^7'f(a) + 'f 'f. '(a) \ ^ ^ 



It is easj to verify bv the aid of (21) that (19; satisfies (20). 

 If for every /■ and .v the expression .r,.//, — .r,//,. be zero, y, and a-/ 

 will be proportiojial and then this will also be the case with w, and 

 V{ as is seen from (20). 



If p(a) = and p{b)^0 we see from (21) that <(() — py^Oand 



(19) that g.>i{b) is proportional to '/.'(^): this satisfies (20) so that in 

 that case (19) and (21) remain valid. 



\a j){h) = 0, /){a)^0 the inverse snbstitntion of (19). .vi'/. 



<f,(a)=:Hifi{h) -f (i'<fi{b),\ 



V,'(a)=yVM6)4 rV//(è) ^ ••••••('• ") 



with 



p{a){aó'-,ry')=p{b) (21a) 



shows that «'d' - ,f y' = and that, in connection with (21a), the 

 qnantities >fi{a) and ^nXa) are proportional. This also follows from 



(20) and so we see that (19) and (19^) remain valid. 



For }){a) = p[b) ^ i) equation (20) is satisfied by all functions 

 <ri{x), that remain finite in a and h. 



