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DLMF:10.6#Ex6
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MaRDI QID
Q3736
Label: DLMF:10.6#Ex6
Digital Library of Mathematical Functions ID
10.6#Ex6
(
p
+
ν
q
)
f
ν
-
1
(
z
)
+
(
p
-
ν
q
)
f
ν
+
1
(
z
)
=
(
2
ν
/
λ
)
z
1
-
q
f
ν
′
(
z
)
.
𝑝
𝜈
𝑞
subscript
𝑓
𝜈
1
𝑧
𝑝
𝜈
𝑞
subscript
𝑓
𝜈
1
𝑧
2
𝜈
𝜆
superscript
𝑧
1
𝑞
superscript
subscript
𝑓
𝜈
′
𝑧
{\displaystyle{\displaystyle(p+\nu q)f_{\nu-1}(z)+(p-\nu q)f_{\nu+1}(z)=(2\nu/% \lambda)z^{1-q}f_{\nu}^{\prime}(z).}}
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