DLMF:18.20.E5
(Q5846)
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English
DLMF:18.20.E5
No description defined
Statements
Defining formula
Q
n
(
x
;
α
,
β
,
N
)
=
F
2
3
(
-
n
,
n
+
α
+
β
+
1
,
-
x
α
+
1
,
-
N
;
1
)
,
Hahn-polynomial-Q
𝑛
𝑥
𝛼
𝛽
𝑁
Gauss-hypergeometric-pFq
3
2
𝑛
𝑛
𝛼
𝛽
1
𝑥
𝛼
1
𝑁
1
{\displaystyle{\displaystyle Q_{n}\left(x;\alpha,\beta,N\right)={{}_{3}F_{2}}% \left({-n,n+\alpha+\beta+1,-x\atop\alpha+1,-N};1\right),}}
0 references
DLMF id
DLMF:18.20.E5
0 references
constraint
n
=
0
,
1
,
…
,
N
𝑛
0
1
…
𝑁
{\displaystyle{\displaystyle n=0,1,\dots,N}}
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