54 



(231) 



Hj. Tallqvist. 

 (m = 1, 2, 3 • • • • ; j< n). 



«+j 



PlJHO)^(-l) ^ ^ a^-^-'e'.-y-i/^ ' falls « gerade, i gerade, 



p'/'' (0) = (- 1) ^ 1 -3 -5 • • ■ ■ {n+j - 1) j.^|j^ ^^ ungerade, j ungerade. 

 " ' 2 • 4 • 6 ■ • • • (w —J) 



(232) 



p^'J>(0) = 0, falls w+i ungerade. 



I ,-1 X , , 2 . 1 - 3- 5 • • • • (h +.; - 1) - ,, , . , 



g;/' (± • = T (- 1) îr» 2-4-6----(w-/) ^ ' " gerade, ./ gerade, 



Qi''' (± ■ = (- 1) ^ 2 2^1 -6---(w+J- l) ^ j^jjg jj gerade, i ungerade. 



Q;^'(±0-0 = (-1) 



1 ■ 3 . 5 • ■ ■ • (n -i) 



n+y+ i 



2~ 2 2-4-6---(w+i- l) 



1.3-5----(M-y) 



, falls n ungerade, j gerade. 



n+J+2 



l-3-b----(n+j-l) 



Qy'(±0-0 = T(-1) .i 2.i.6....in-j-) 



, falls w ungerade, y ungerade. 



(234) 



( Q^"' (0) = , falls n +j gerade. 



1 Qlp (0) = q'„^' (± • i) , falls H +j ungerade. 



(235) 



p(-'>(oo) = œ, falls y<w, 

 P„j (co) = co, falls y <n. 

 pW(oo) = i.3-5----(2n-l); P„„ (ao) = co. 





(237) 



,0) /,x _ (« -J + l )(w-y+2 )-.--(w+j-) 



Pr (1) ^ 



2 • 4 • 6 • • • • 2y 



p(.) f_ n - r- 1 ) » -> (n-i + l)(>»-y + 2)-..-(n+y) 

 ■^» <• ^^-l- *'' 2-4-6----2y 



(238) 

 (239) 



P„.(1) = 0; P„/-1) = 0. 



iÇ„,-(i) = «; Çni(-i) = °°- 



T. XXVI. 



