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Statements
∫
0
∞
e
2
i
h
cosh
z
cosh
t
sinh
z
sinh
t
Se
ν
(
t
,
h
2
)
d
t
=
-
π
4
h
e
i
ν
π
/
2
se
ν
′
(
0
,
h
2
)
M
ν
(
3
)
(
z
,
h
)
,
superscript
subscript
0
superscript
𝑒
2
imaginary-unit
ℎ
𝑧
𝑡
𝑧
𝑡
modified-Mathieu-Se
𝜈
𝑡
superscript
ℎ
2
𝑡
𝜋
4
ℎ
superscript
𝑒
imaginary-unit
𝜈
𝜋
2
diffop
Mathieu-se
𝜈
1
0
superscript
ℎ
2
modified-Mathieu-M
3
𝜈
𝑧
ℎ
{\displaystyle{\displaystyle\int_{0}^{\infty}e^{2\mathrm{i}h\cosh z\cosh t}%
\sinh z\sinh t\mathrm{Se}_{\nu}\left(t,h^{2}\right)\mathrm{d}t=-\dfrac{\pi}{4h%
}e^{\mathrm{i}\nu\pi/{2}}\mathrm{se}_{\nu}'\left(0,h^{2}\right){\mathrm{M}^{(3%
)}_{\nu}}\left(z,h\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}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
cosh
z
𝑧
{\displaystyle{\displaystyle\cosh\NVar{z}}}
sinh
z
𝑧
{\displaystyle{\displaystyle\sinh\NVar{z}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∫
{\displaystyle{\displaystyle\int}}
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)}}
Se
ν
(
z
,
q
)
modified-Mathieu-Se
𝜈
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{Se}_{\NVar{\nu}}\left(\NVar{z},\NVar{q}%
\right)}}
h
ℎ
{\displaystyle{\displaystyle h}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
