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Statements
∫
0
∞
e
2
i
h
cosh
z
cosh
t
Ge
m
(
t
,
h
2
)
d
t
=
1
2
π
i
m
+
1
ge
m
(
0
,
h
2
)
Ms
m
(
3
)
(
z
,
h
)
.
superscript
subscript
0
superscript
𝑒
2
imaginary-unit
ℎ
𝑧
𝑡
modified-Mathieu-Ge
𝑚
𝑡
superscript
ℎ
2
𝑡
1
2
𝜋
imaginary-unit
𝑚
1
Mathieu-ge
𝑚
0
superscript
ℎ
2
modified-Mathieu-Ms
3
𝑚
𝑧
ℎ
{\displaystyle{\displaystyle\int_{0}^{\infty}e^{2\mathrm{i}h\cosh z\cosh t}%
\mathrm{Ge}_{m}\left(t,h^{2}\right)\mathrm{d}t=\tfrac{1}{2}\pi{\mathrm{i}^{m+1%
}}\mathrm{ge}_{m}\left(0,h^{2}\right){\mathrm{Ms}^{(3)}_{m}}\left(z,h\right).}}
ge
n
(
z
,
q
)
Mathieu-ge
𝑛
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{ge}_{\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}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
∫
{\displaystyle{\displaystyle\int}}
Ge
n
(
z
,
q
)
modified-Mathieu-Ge
𝑛
𝑧
𝑞
{\displaystyle{\displaystyle\mathrm{Ge}_{\NVar{n}}\left(\NVar{z},\NVar{q}%
\right)}}
Ms
n
(
j
)
(
z
,
h
)
modified-Mathieu-Ms
𝑗
𝑛
𝑧
ℎ
{\displaystyle{\displaystyle{\mathrm{Ms}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z%
},\NVar{h}\right)}}
m
𝑚
{\displaystyle{\displaystyle m}}
h
ℎ
{\displaystyle{\displaystyle h}}
z
𝑧
{\displaystyle{\displaystyle z}}
Identifiers
