Nene Theorie der nltraelUptisclicn Functionen. 



S7 





=a. 



c; 



P(,r|;r,) = .r(l-.r) (1—xv-) (l-Xvr,) (l-[xV) + .r,(l-,rO (l—/-'.r.) (1— XV) (1 ^ ;.v,) 

 Constantenbestimmung. Setzen .Tj := 0, ./■. = 1 : ii\\io.,^u^ -f -^"|?<3 + ^r ' ^^ wird aus 



3"-GI)(".i»,) 



(2): 





;„ i !_,=.,) (i_^=.,) ^ ^ .^^ (i-'c'-gJCi-K-y) ^,, j (O 1 



« (1— a.-) 



X (1— .1-) 



ö-X;;S)(w;,|z<;,) 



Q. 



x/;./,,/, /j.;^ 



+ Ci 



; g: = o. 



(.t—./-,)^ [x—x.^ [x^—x.^' 

 P(,.j.,. ) = .r (l-.r,) (l-x^r,) (l-X^rO (1-ixV) + :r,(l— .r) (l-/^r) (1— X^.r) (l-(xV,) 



Constantenbestimmung. Setzen a-j = U, .^2= 1 : ic^\ic^ ^ «j + ^1"-' + "ip' ^'^ ^^"^^""^ ^^^ (^^' 



0. 



•5^(;!)(»,i".) 



4. 



•5^S)(«.|«.) 







jc.= 



V-V-iV-y-V-')^ 



; cy = 



&^'P(t«.h^g 



=a. 



+ c; 



P{x\x,) = x{\—x:) (1— xV) (l-X^r) (1— [x^r) + x,{\~x) {l—■^:x,) iX—lcx^ (l-^^J 

 Constantenbestimmung. Setzen a'j = 0, a\, = 1 \ «'il^r, ^?/i + "^1"-' + "^T' ®*^ wird aus 



5. 





^^ . = Li x.Aiix, [- Cj 



xAp. 1 .« 1 X 



c. = -- 



x/,;j./«,Ai|n, 



•: c; 



(4) 



: 



i 



Ö^'p(^«llw2) 



a. 



+ cy 



P(.t|xO = a- (1-.tO (1-xV) (1-X-lr,) (1-r-rO + .r,(l-,r) (l-x"r,) (1-Xlr) (l-fxlr) 

 Constantenbestimmung. Setzen x^ = 0, .r,, = 1 : w^lw^^Ui + -^|«2 + -^% so wird aus 





l—x'x 



XAxfix 



, 1 — x"^ ... 



a = 



1 



xxi/,,a. 





(5;: 

 ^ 



I 



