216 Prof. Rogers d' Mr Ramanujan, Proof of certain identities 



In particular we have 



1 - r/ - rf + (f + ry" - . . 



^l-q^{l-q){l-(f) (i_,^)(l_f/)(l_,/) 



{l-q)il-cf){l-f) 

 1 



and 



1 + ^^ + ,g' + ... = {l-q)G(q) 



.(10), 



1_^ (l-g)(l-5^)' ••• (l-5)(l-^-^)(l-r/), 

 1 — q — q^ + q' -\- (f^ — ... 



(i-^)(i-9^ya-^Yy^-" 

 1 



(l_^.)(l_53)(l_(^7)(l_^8)(l_^l.),.. 



.(11)- 



