107 



which may be put under the form 



rf«~ wo [«+ l]''il(z, + ^)'' ■*■ '"-"''O/O j-^-ln^^'^ ip'+l(2 .j.J)n(2 .j.^)«'+l' 



that is, by (L), 



dp 

 d» 



= (r,+ ^) («_»,). (Y) 



(A') 



Avhich agrees with the conditions (H). A similar verification may 

 be obtained from the same conditions (H), by considering the deve- 

 lopment of jg. 



Finally, we may observe that the condition 



becomes, by (G) and (1), 



^= z, - WW + (2, + A) (««,- ^) + (z, + J5) (^^,- '^) + «> 



in which, by (^K) and (L), 



w 4- I d" / dp, y + ''^ 



' 2 2 W "[«"+T]»+i (2 + ^)"'*'* 



__ _ CO, a, d»/'dfi,'>'\d<»,di3\duj \d/3,) J 



(n.»')0.'0 [„]»[«'+ l]«' + l(z,+ ^)" + 2(z, -J- £)«■ + ! 

 M + 1 rf" /dip, \'"+2 



2-2 ^"^" [n+ l]''+M2, + ^)''+* 



' _d^+^/_£p^ (dp,\» + 1 /^y + ^ \ 



» M da^d^f \da,d/i, \d», ) W/ / / 



:'!»^>)ta '-kilj io unci -mo lu^ f>7fi-, 



