HYPERGEOMETRICA. 63 



/(4)=:^r/(3)+ C ™-^ ±il mA/( 2 )- < ^;-^#jB/-(o) 



/(y^j^^^mAfish^f^mBf^+^^mCfiT) 



f(%)- m -^jf(l)+ '•"-^T^mAfiey^^m B/(4) + (^-^„C/( 2 ) 



• sri m D/(o) 



quae lex progrefiionis infpicienti mox fit manifefta. 



C o n c 1 u fi o. 



Nunc haud multo difficilius erit hoc nego- 

 tium longe generalius expedire, ita vt , fi <£>:x de- 

 notet functionem quamcunque ipfius x fummam 

 huius feriei 



s=<p:x-m<p.( X -i)+^<p:(x-z) -^r^.-^-s) 



aflignare queamus. Perfpicuum enim eft hanc fbr- 

 mam, difFerentiam ordinis m exhibere iftius progres- 

 fionis 



<p:x; (p:(x-i)- y <p:(*-a)> 4>:(jc— 3) etc 



Ex iis enim quae in Inftitutionibus Calculi Differen- 

 tialis pag. 343. in medium attuli , fi ponamus 

 <P:xz=zy 9 colligitur differentias fingulorum ordi- 

 num effe : 



&y 



