Opuscula 241 



suinmac termlnoriim negallvorum. 



Nunc vero pro 'vZ, max'iQia inter quanlitales analogas , 



considerctur quae ei succedit secundum magaitudinena, sit- 

 in rtt 



que y 'L' \) et paritcr dcnotantes earn liltera M , quaeremns 

 queni valorem oporteal tribuere indcterminatae p, ut (i4-p)^I 

 rcddat 



*" > Zx» 4- Z'x^' <^Z' ' x»" -i-Z' "x»'"~{- 



Dl'-W my la 



Sit 7i ratio maximae quantitatis V Z ad secundam V Z' , 



ra--w 



undo habealur vZ=//M. Erit Z=:7t°"-''M™--'', Z'=M'°-"', et 

 denuo, 



Z" non > M"""'"'', Z'" non > M""'"'" 



undc Zxx -j-Z' x"' -{-Z" x^"-\-Z" ' x^'"-^ 



Don>/*'°-'Ar(p4-l)*'+M'"(p-Hlf' + M"'(p-f-1)*'"+ 



seu non > M" { (A'°-'-1 )(;,+1 )" ^p^])" ^(p+'lf ^(j,^lf^ .... } , 

 ac proinde Zx^-f-Z' x"' -HZ"a;»'"+Z"'a;''"'-f- 



Evadet igitur x™ > Zar" -4-Z'a;"' -f< , bi ponamiis 



(P 



I (p-Hl)— 1 S 



quae conditio transformalur successive in 



,m 







(;,_|_1)n'-"_1 /j™--"_1 



Huic condilioni satisfaciemus sumenles p = //^ quoniamcum, 

 crescenle variabili, crescant funcliones formae sequenlis 



^—, =/--V/"-+/"V . . . .+r+i . 



sijCxislente n numero integro ct positive, sit insuper / quan- 

 T. m. 3i 



