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DLMF:10.43.E17
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MaRDI QID
Q4328
Label: DLMF:10.43.E17
Digital Library of Mathematical Functions ID
10.43.E17
α
Ki
α
+
1
(
x
)
+
x
Ki
α
(
x
)
+
(
1
-
α
)
Ki
α
-
1
(
x
)
-
x
Ki
α
-
2
(
x
)
=
0
.
𝛼
Bickley-Ki
𝛼
1
𝑥
𝑥
Bickley-Ki
𝛼
𝑥
1
𝛼
Bickley-Ki
𝛼
1
𝑥
𝑥
Bickley-Ki
𝛼
2
𝑥
0
{\displaystyle{\displaystyle\alpha\mathrm{Ki}_{\alpha+1}\left(x\right)+x% \mathrm{Ki}_{\alpha}\left(x\right)+(1-\alpha)\mathrm{Ki}_{\alpha-1}\left(x% \right)-x\mathrm{Ki}_{\alpha-2}\left(x\right)=0.}}
Constraint(s)
Symbols List
Ki
α
(
x
)
Bickley-Ki
𝛼
𝑥
{\displaystyle{\displaystyle\mathrm{Ki}_{\NVar{\alpha}}\left(\NVar{x}\right)}}
: Bickley function
x
𝑥
{\displaystyle{\displaystyle x}}
: real variable
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