Full text: [Allgemeine Analysis] Theoria combinationis observationum erroribus minimis obnoxiae (3. Band)

216 
NACHLASS. 
[88: F[cl, 6, <X —{— —|— '1 —|— Ar, 1 — oo] 
_ II (a 6 + &) II £ -yr 
= n(o+Ä)nc6 + Ä) Ä 
I H (a -p 6 -p k) II k V ( /I 
“* n(a—1)0(6—l)n(«+Ä)n(6 + Ä)(—1)(—2) . . {—k) 
+ V(a+i+*) + W|[g+i+*)— 
II (a + 6 + &) II & -yr i II (a + 6 + Ä) x i+li y 
ü(a+¿>11(6+10 A — H(a —1)0(6 — l)II(Ä + l) 1 
ubi 
Y= {Iog®+ 'F(a+*)+«F(6+*)—f (¿+1) —f(0) j F(a+A'+1,«+*+1, *+2,») 
( A a + Ä +t . 6 + Ä +1 ^ 
1. i+1 ■* 
+ (A+A)“ + ^ +1,a+,t+2 - 8 +! 1 ’t 1 ' 6 t* + 2 ^^ 
1 • 2 • k “l - 2 , k 3 
1 r a i 73 i /"*\ a- W >: ■pl* a_ P^+2.a + &+ 3.6+&+1.6 + &+ 2.6+& + 3 
+ b) - 7 2 7 3 7 ¿7+ 2 . ¿+3 . ¿ + 4~ 
—j— etc. 
X 
atque 
A = 
i 
+ 
i 
i 
— i 
ot -j— /c -f- 1 
6 + k + i 
k 4-2 
B = 
1 
+ 
l 
1 
i 
cc -j- Jc 2 
6 + Ä+2 
k + 3 
2 
C — 
1 
+ 
1 
1 
1 
ct —j— Jc 3 
6 -f- /c -f- 3 
h -f- 4 
3 5 
etc. 
signumque superius vel inferius accipiendum est, prout k est numerus par vel 
impar. 
46. 
Hoc itaque modo F{a, 6, oc —{——}— 1 — y, 1 — x) transmutatur, si y est 0 
vel integer negativus. Casum y = -|-1 prorsus simili modo tractare possumus, 
sive brevius statuere possumus in ratiociniis praecedentidus k = —1 , unde X 
prorsus evanescit atque obtinemus:
	        
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