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DLMF:28.2.E34
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Formula:8873
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MaRDI QID
Q8873
Label: DLMF:28.2.E34
Digital Library of Mathematical Functions ID
28.2.E34
ce
2
n
(
z
,
-
q
)
=
(
-
1
)
n
ce
2
n
(
1
2
π
-
z
,
q
)
,
Mathieu-ce
2
𝑛
𝑧
𝑞
superscript
1
𝑛
Mathieu-ce
2
𝑛
1
2
𝜋
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{ce}_{2n}\left(z,-q\right)=(-1)^{n}\mathrm{% ce}_{2n}\left(\tfrac{1}{2}\pi-z,q\right),}}
Constraint(s)
Symbols List
ce
n
(
z
,
q
)
Mathieu-ce
𝑛
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
:
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
q
=
h
2
𝑞
superscript
ℎ
2
{\displaystyle{\displaystyle q=h^{2}}}
: parameter
n
𝑛
{\displaystyle{\displaystyle n}}
: integer
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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