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DLMF:28.20.E13
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Formula:9038
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MaRDI QID
Q9038
Label: DLMF:28.20.E13
Digital Library of Mathematical Functions ID
28.20.E13
M
ν
(
3
)
(
z
,
h
)
=
M
ν
(
1
)
(
z
,
h
)
+
i
M
ν
(
2
)
(
z
,
h
)
,
modified-Mathieu-M
3
𝜈
𝑧
ℎ
modified-Mathieu-M
1
𝜈
𝑧
ℎ
imaginary-unit
modified-Mathieu-M
2
𝜈
𝑧
ℎ
{\displaystyle{\displaystyle{\mathrm{M}^{(3)}_{\nu}}\left(z,h\right)={\mathrm{% M}^{(1)}_{\nu}}\left(z,h\right)+\mathrm{i}{\mathrm{M}^{(2)}_{\nu}}\left(z,h% \right),}}
Constraint(s)
Symbols List
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
: imaginary unit
M
ν
(
j
)
(
z
,
h
)
modified-Mathieu-M
𝑗
𝜈
𝑧
ℎ
{\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}}
:
h
ℎ
{\displaystyle{\displaystyle h}}
: parameter
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
ν
𝜈
{\displaystyle{\displaystyle\nu}}
: complex parameter
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