66 



Art. 4. — M. Kuniyeda : 



38- We now pass to another proof wliicli is quite independent 

 of the assumption (52). 



We have to prove tlie relation (58), or 



as ^->oo . 



At first we consider the case in which 



h > 0. 



Now in the integral 



./ X 



we have 



f'l 



pï < 



(ci-h)^ {a^h). 



xa 



XCF 



(a = h). 



By (56), xy = -x-''6„ 



Hence, if a — b < b, we have 



xV^" 



f — _ a-- (■"-''> 



xo 



6», • 



l'y < -^ < xa'. 



xa 



and Theorem VI may be applied to tlie integral S^{}). Thus we 

 have 



and, as f>i < f», we obtain 



s,'/) < c,(;o. 



II a — b^b, then, by performing integration by parts, we 

 ol)tain 



S,{^) = 0,\) + C,().) + iS,(?.), 



where 



