MULTIPLICATION OF liLLIP'l'iC FUNCITOMd. 



197 



/, 1-27,= „ ,\<r-v , , ., ,/i--2i-' , ,, ,\<n' 



hen 



wiierc 



■^/ - V T 



cii u and 



1 



Va 



^ dn ^^. 



§ II- 



\\\- si Uli I liaxe, by .suitabJy (Icteriiiining the constaiilsf, 



(10-2) 





\ V = D[.r), 



A{0) - n, 

 B{0)= 1, 



AO) = 1, 



' 7j = Va- .<Vi - '^-Vi - /^j^^ A{x-), Aio) ^ II, 



(108) 



F2 = V ^ ^''''"'■'' 



ü(0)= 1, 



CIO}- 1, 

 AO)- 1, 



11 odd, 



II, even, 



wliere J, 7», ( ', V ;ire nitioinil inte,ii;r:il I'lind ions ol .r. 



