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DLMF:32.2#Ex6
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Formula:9867
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MaRDI QID
Q9867
Label: DLMF:32.2#Ex6
Digital Library of Mathematical Functions ID
32.2#Ex6
z
d
f
1
d
z
=
f
1
f
3
(
f
2
-
f
4
)
+
(
1
2
-
μ
3
)
f
1
+
μ
1
f
3
,
𝑧
derivative
subscript
𝑓
1
𝑧
subscript
𝑓
1
subscript
𝑓
3
subscript
𝑓
2
subscript
𝑓
4
1
2
subscript
𝜇
3
subscript
𝑓
1
subscript
𝜇
1
subscript
𝑓
3
{\displaystyle{\displaystyle z\frac{\mathrm{d}f_{1}}{\mathrm{d}z}=f_{1}f_{3}(f% _{2}-f_{4})+(\tfrac{1}{2}-\mu_{3})f_{1}+\mu_{1}f_{3},}}
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