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DLMF:31.17.E4

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Formula:9839
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MaRDI QIDQ9839

  • Label: DLMF:31.17.E4


Digital Library of Mathematical Functions ID 31.17.E4

Ξ¨ ⁒ ( 𝐱 ) = ( z 1 ⁒ z 2 ) - s - 1 4 ⁒ ( ( z 1 - 1 ) ⁒ ( z 2 - 1 ) ) - t - 1 4 ⁒ ( ( z 1 - a ) ⁒ ( z 2 - a ) ) - u - 1 4 ⁒ w ⁒ ( z 1 ) ⁒ w ⁒ ( z 2 ) , Ξ¨ 𝐱 superscript subscript 𝑧 1 subscript 𝑧 2 𝑠 1 4 superscript subscript 𝑧 1 1 subscript 𝑧 2 1 𝑑 1 4 superscript subscript 𝑧 1 π‘Ž subscript 𝑧 2 π‘Ž 𝑒 1 4 𝑀 subscript 𝑧 1 𝑀 subscript 𝑧 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 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a π‘Ž {\displaystyle{\displaystyle a}} : complex parameter
  • Ξ¨ ⁒ ( 𝐱 ) Ξ¨ 𝐱 {\displaystyle{\displaystyle\Psi(\mathbf{x})}} : common eigenfunction
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