585 



by vvliich 



(-1) ■ 



Further we find 



T^^ni— A)' "r(i-;.)T *'/ 



so that 



(/„ = 



2« 



r(i— -^) n! 

 thus 



T-T' 



1 V 2 y _ *■'" ^'^ ^' (i) 



by which 



By substitution of these values of xp and o" Ave see that (\(() and 

 (16) pass into 



with 



:r I— > 



a 



For A = è follow from this some important relations as Sonine 

 already noticed. The forms of Abel appear when we lake z = 0. 



3. As third application Sonine gives : 



r(m— -^+1), , 



^(,)=r(i-;.)(i + -/)-^^-^'^-f (-1)'"— ^,^7 ^^^"'' 



by whicli 



