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DLMF:28.28#Ex9
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Formula:9143
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MaRDI QID
Q9143
Label: DLMF:28.28#Ex9
Digital Library of Mathematical Functions ID
28.28#Ex9
D
1
(
ν
,
μ
,
z
)
=
M
ν
(
3
)
′
(
z
)
M
μ
(
4
)
(
z
)
-
M
ν
(
4
)
′
(
z
)
M
μ
(
3
)
(
z
)
,
Mathieu-D
1
𝜈
𝜇
𝑧
diffop
modified-Mathieu-M
3
𝜈
1
𝑧
ℎ
modified-Mathieu-M
4
𝜇
𝑧
ℎ
diffop
modified-Mathieu-M
4
𝜈
1
𝑧
ℎ
modified-Mathieu-M
3
𝜇
𝑧
ℎ
{\displaystyle{\displaystyle\mathrm{D}_{1}\left(\nu,\mu,z\right)={\mathrm{M}^{% (3)}_{\nu}}'\left(z\right){\mathrm{M}^{(4)}_{\mu}}\left(z\right)-{\mathrm{M}^{% (4)}_{\nu}}'\left(z\right){\mathrm{M}^{(3)}_{\mu}}\left(z\right),}}
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