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Statements
2
π
∫
0
π
/
2
cos
z
cos
t
sinh
(
2
h
sin
z
sin
t
)
se
2
n
+
2
(
t
,
h
2
)
d
t
=
h
B
2
2
n
+
2
(
h
2
)
2
se
2
n
+
2
′
(
0
,
h
2
)
se
2
n
+
2
(
z
,
h
2
)
.
2
𝜋
superscript
subscript
0
𝜋
2
𝑧
𝑡
2
ℎ
𝑧
𝑡
Mathieu-se
2
𝑛
2
𝑡
superscript
ℎ
2
𝑡
ℎ
superscript
subscript
𝐵
2
2
𝑛
2
superscript
ℎ
2
2
diffop
Mathieu-se
2
𝑛
2
1
0
superscript
ℎ
2
Mathieu-se
2
𝑛
2
𝑧
superscript
ℎ
2
{\displaystyle{\displaystyle\frac{2}{\pi}\int_{0}^{\ifrac{\pi}{2}}\cos z\cos t%
\sinh\left(2h\sin z\sin t\right)\mathrm{se}_{2n+2}\left(t,h^{2}\right)\mathrm{%
d}t=\frac{hB_{2}^{2n+2}(h^{2})}{2\mathrm{se}_{2n+2}'\left(0,h^{2}\right)}%
\mathrm{se}_{2n+2}\left(z,h^{2}\right).}}
se
n
(
z
,
q
)
Mathieu-se
𝑛
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}%
\right)}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
sinh
z
𝑧
{\displaystyle{\displaystyle\sinh\NVar{z}}}
∫
{\displaystyle{\displaystyle\int}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
h
ℎ
{\displaystyle{\displaystyle h}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
B
m
(
q
)
subscript
𝐵
𝑚
𝑞
{\displaystyle{\displaystyle B_{m}(q)}}
