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DLMF:28.33.E2 - MaRDI portal
Statements
V
n
(
ξ
,
η
)
=
(
c
n
M
n
(
1
)
(
ξ
,
q
)
+
d
n
M
n
(
2
)
(
ξ
,
q
)
)
me
n
(
η
,
q
)
,
subscript
𝑉
𝑛
𝜉
𝜂
subscript
𝑐
𝑛
modified-Mathieu-M
1
𝑛
𝜉
𝑞
subscript
𝑑
𝑛
modified-Mathieu-M
2
𝑛
𝜉
𝑞
Mathieu-me
𝑛
𝜂
𝑞
{\displaystyle{\displaystyle V_{n}(\xi,\eta)=\left(c_{n}{\mathrm{M}^{(1)}_{n}}%
\left(\xi,\sqrt{q}\right)+d_{n}{\mathrm{M}^{(2)}_{n}}\left(\xi,\sqrt{q}\right)%
\right)\mathrm{me}_{n}\left(\eta,q\right),}}
me
n
(
z
,
q
)
Mathieu-me
𝑛
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}%
\right)}}
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)}}
q
=
h
2
𝑞
superscript
ℎ
2
{\displaystyle{\displaystyle q=h^{2}}}
n
𝑛
{\displaystyle{\displaystyle n}}
V
(
ξ
,
η
)
𝑉
𝜉
𝜂
{\displaystyle{\displaystyle V(\xi,\eta)}}
d
n
subscript
𝑑
𝑛
{\displaystyle{\displaystyle d_{n}}}
η
𝜂
{\displaystyle{\displaystyle\eta}}
ξ
𝜉
{\displaystyle{\displaystyle\xi}}
c
n
subscript
𝑐
𝑛
{\displaystyle{\displaystyle c_{n}}}
Identifiers