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DLMF:28.31.E21 - MaRDI portal
Statements
β«
0
2
β’
Ο
βπ
p
m
1
β’
(
x
,
ΞΎ
)
β’
βπ
p
m
2
β’
(
x
,
ΞΎ
)
β’
d
x
=
β«
0
2
β’
Ο
βπ
p
m
1
β’
(
x
,
ΞΎ
)
β’
βπ
p
m
2
β’
(
x
,
ΞΎ
)
β’
d
x
=
0
.
superscript
subscript
0
2
π
superscript
subscript
βπ
π
subscript
π
1
π₯
π
superscript
subscript
βπ
π
subscript
π
2
π₯
π
π₯
superscript
subscript
0
2
π
superscript
subscript
βπ
π
subscript
π
1
π₯
π
superscript
subscript
βπ
π
subscript
π
2
π₯
π
π₯
0
{\displaystyle{\displaystyle\int_{0}^{2\pi}\mathit{hc}_{p}^{m_{1}}(x,\xi)%
\mathit{hc}_{p}^{m_{2}}(x,\xi)\mathrm{d}x=\int_{0}^{2\pi}\mathit{hs}_{p}^{m_{1%
}}(x,\xi)\mathit{hs}_{p}^{m_{2}}(x,\xi)\mathrm{d}x=0.}}
Ο
{\displaystyle{\displaystyle\pi}}
d
x
π₯
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
β«
{\displaystyle{\displaystyle\int}}
m
π
{\displaystyle{\displaystyle m}}
x
π₯
{\displaystyle{\displaystyle x}}
βπ
p
m
β’
(
z
,
ΞΎ
)
superscript
subscript
βπ
π
π
π§
π
{\displaystyle{\displaystyle\mathit{hc}_{p}^{m}(z,\xi)}}
βπ
p
m
β’
(
z
,
ΞΎ
)
superscript
subscript
βπ
π
π
π§
π
{\displaystyle{\displaystyle\mathit{hs}_{p}^{m}(z,\xi)}}