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Statements
∫
z
ν
𝒵
ν
(
z
)
d
z
=
π
1
2
2
ν
-
1
Γ
(
ν
+
1
2
)
z
(
𝒵
ν
(
z
)
𝐋
ν
-
1
(
z
)
-
𝒵
ν
-
1
(
z
)
𝐋
ν
(
z
)
)
,
superscript
𝑧
𝜈
modified-cylinder-function
𝜈
𝑧
𝑧
superscript
𝜋
1
2
superscript
2
𝜈
1
Euler-Gamma
𝜈
1
2
𝑧
modified-cylinder-function
𝜈
𝑧
modified-Struve-L
𝜈
1
𝑧
modified-cylinder-function
𝜈
1
𝑧
modified-Struve-L
𝜈
𝑧
{\displaystyle{\displaystyle\int z^{\nu}\mathscr{Z}_{\nu}\left(z\right)\mathrm%
{d}z=\pi^{\frac{1}{2}}2^{\nu-1}\Gamma\left(\nu+\tfrac{1}{2}\right)z\*\left(%
\mathscr{Z}_{\nu}\left(z\right)\mathbf{L}_{\nu-1}\left(z\right)-\mathscr{Z}_{%
\nu-1}\left(z\right)\mathbf{L}_{\nu}\left(z\right)\right),}}
ν
≠
-
1
2
𝜈
1
2
{\displaystyle{\displaystyle\nu\neq-\tfrac{1}{2}}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
∫
{\displaystyle{\displaystyle\int}}
𝐋
ν
(
z
)
modified-Struve-L
𝜈
𝑧
{\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}
𝒵
ν
(
z
)
modified-cylinder-function
𝜈
𝑧
{\displaystyle{\displaystyle\mathscr{Z}_{\NVar{\nu}}\left(\NVar{z}\right)}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
