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DLMF:31.17.E4
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Formula:9839
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MaRDI QID
Q9839
Label: DLMF:31.17.E4
Digital Library of Mathematical Functions ID
31.17.E4
Ξ¨
β’
(
π±
)
=
(
z
1
β’
z
2
)
-
s
-
1
4
β’
(
(
z
1
-
1
)
β’
(
z
2
-
1
)
)
-
t
-
1
4
β’
(
(
z
1
-
a
)
β’
(
z
2
-
a
)
)
-
u
-
1
4
β’
w
β’
(
z
1
)
β’
w
β’
(
z
2
)
,
Ξ¨
π±
superscript
subscript
π§
1
subscript
π§
2
π
1
4
superscript
subscript
π§
1
1
subscript
π§
2
1
π‘
1
4
superscript
subscript
π§
1
π
subscript
π§
2
π
π’
1
4
π€
subscript
π§
1
π€
subscript
π§
2
{\displaystyle{\displaystyle\Psi(\mathbf{x})=(z_{1}z_{2})^{-s-\frac{1}{4}}((z_% {1}-1)(z_{2}-1))^{-t-\frac{1}{4}}\*((z_{1}-a)(z_{2}-a))^{-u-\frac{1}{4}}w(z_{1% })w(z_{2}),}}
Constraint(s)
Symbols List
z
π§
{\displaystyle{\displaystyle z}}
: complex variable
a
π
{\displaystyle{\displaystyle a}}
: complex parameter
Ξ¨
β’
(
π±
)
Ξ¨
π±
{\displaystyle{\displaystyle\Psi(\mathbf{x})}}
: common eigenfunction
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