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1.15.E7
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MaRDI QID
Q518
Label: 1.15.E7
Digital Library of Mathematical Functions ID
1.15.E7
lim
n
→
∞
n
!
(
α
+
1
)
n
∑
k
=
0
n
(
α
+
1
)
k
k
!
a
n
-
k
=
s
.
subscript
→
𝑛
𝑛
subscript
𝛼
1
𝑛
subscript
superscript
𝑛
𝑘
0
subscript
𝛼
1
𝑘
𝑘
subscript
𝑎
𝑛
𝑘
𝑠
{\displaystyle{\displaystyle\lim_{n\to\infty}\frac{n!}{(\alpha+1)_{n}}\sum^{n}% _{k=0}\frac{(\alpha+1)_{k}}{k!}a_{n-k}=s.}}
Constraint(s)
Symbols List
!
{\displaystyle{\displaystyle!}}
:
k
𝑘
{\displaystyle{\displaystyle k}}
: integer
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
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