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DLMF:30.3#Ex5
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Formula:9525
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MaRDI QID
Q9525
Label: DLMF:30.3#Ex5
Digital Library of Mathematical Functions ID
30.3#Ex5
β
k
=
(
k
+
m
)
(
k
+
m
+
1
)
-
2
γ
2
(
k
+
m
)
(
k
+
m
+
1
)
-
1
+
m
2
(
2
k
+
2
m
-
1
)
(
2
k
+
2
m
+
3
)
,
subscript
𝛽
𝑘
𝑘
𝑚
𝑘
𝑚
1
2
superscript
𝛾
2
𝑘
𝑚
𝑘
𝑚
1
1
superscript
𝑚
2
2
𝑘
2
𝑚
1
2
𝑘
2
𝑚
3
{\displaystyle{\displaystyle\beta_{k}=(k+m)(k+m+1)-2\gamma^{2}\frac{(k+m)(k+m+% 1)-1+m^{2}}{(2k+2m-1)(2k+2m+3)},}}
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