— 141 — 



7) (f{-S-h 1, S', X, -yx^+^)-f/(-8-, 0, g, X, -yxs+O 



= y(l+yx+y2x^+Y^x«+y%io+ ) 



= y.(^(-g, 1, g, X, -yx^+i). 



8) f^(— g— 1, 2, g, X, — yx»+i)— 9^(--g, 1, g, X, — yx^'+i) 



= y[l+(H-x)yx+(l+x+x2)y2x^+(H-x+x2+x3)y3x6+ • • • •] 

 = y.^/(— gN 2, g, X, — >T^^+^). 

 (g=^) 



9) r/>(-g-l, 2, g, X, -yx^+0-r/(-g-l, 1, g" x, -yx^+i) 



= xy[l+ri+x)yx+(l+x+x2)y2x^+(l+x+x2+x3)y3x«+ ....} 

 = xy.r/X— g, 2, g, X, — yx^+i). 



(g^OC) 



10) ^(-g+1. 2, g, X, -yx^+i)-r/(-g+l, 1, g, x, -yx^+0 



(g=OC) (g=^) 



= }'x2[l+(l+x)}Tc3+(;i+x+x2)y2x^+ 



(l+x+x2+x3)y^xi2+ ] 



= yx3.^(— g+2, 2, g, X, — yx^^+^j. 

 (g='^) 



11) r/(-g+l, 2, g, X, -^^g+i)-r/(-g, 2, g, X, -yx^+i) 



(g^OC) (g=OC) 



= -yx(i-x^)[i+-^3^yx + YYii^y^rjz:^y x +. . . .j 



= -yx(l-x2) .y(-g+l, 3, g, X, -yx^+O- 



(g==OC) 



Multipliziert und dividiert man jedes Glied der Reihe (19) 

 mit (1 — x), so erhält man 



12) f/)(-g,2,g,x,-yx^+i) ^ 



_1_ [l_x+(l-x2)yx+(l-x3)y2x3+(l-x%%«+ J 



- ^^[l+}^+y2x3+y3x6+y%io+ 



-x(l+yx2+y2x5+y^x9+y^xi^+ )] 



