140 



2) r/(— g-1, 1, s, X, — yx-+i)-r/<-- 1, g, x, — yx^+i) 



= (l_x)y+(l-x^)y2x+(l-x^jy^x-^+(l-x^)y^xö+ .... 



= y (l-x) [1+ (l+x) yx+ (l+x+x^) y2x3+ 

 (l-fx-fx2+x^)y^x«+ .......] 



= y(l-x).r/)(-g, 2, g, X, — yxs^+i). 



3) ^(-g, 2, g, X, _yxg+i)_,y,(_g., 1^ g^ X, — yx^4-i) 



(g=00) (g=OC) 



= yx2+y2x3(x+x^)+y^x«(x+x2+xs)-|- 

 y%io(x+x2+x3+x4)-f , 



= yx2[l+(l+x)yx2+(H-x+x2)y2x^+ 

 (l+x+x2+x2)y^x9+ ] 



= yx2.r;{-g+l, 2, g, X, — yx^+i). 



4) r/<-g, 0, g, X, -yx^+i)— r/)(— g, 1, g, x, — yx?+^) 



(g==OOj (g=^) 



= -yx(l+yx2+y2x5+y3x9+y%i<^+ ) 



:=. -yx.f/^(— g+1, l,g, X, -yx^+i). 



5) ^-(-g, 2,g- X, -yx^'+i)-r/.(-g+l, 1, g, X, -yx^+^) 



(g=00) (g-OO) 



- yx[l+(14-x)yx2+(l+x+x2)y2x5+ 

 (l+x+x2+x3)y3x9+ ] 



= yx.f/)(— g+l, 2, g, X, — yx^+O. 



(g=^) 



C) g^(-S+l, 1, g; X, _yx^+i)-r/)(-g, 0, g, X, -yx^+i) 



(g^OO) (g==00) 



:= ^^%l+Jx'+y^x'+yH^''+ ) 



= yx^r;^{-g^-2, 1, g, X, -yx^^^^). 



