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DLMF:31.17.E4 - MaRDI portal

DLMF:31.17.E4 (Q9839)

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DLMF:31.17.E4
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    Statements

    DLMF defining formula
    Ψ ⁢ ( 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 ) , Ψ 𝐱 superscript subscript 𝑧 1 subscript 𝑧 2 𝑠 1 4 superscript subscript 𝑧 1 1 subscript 𝑧 2 1 𝑡 1 4 superscript subscript 𝑧 1 𝑎 subscript 𝑧 2 𝑎 𝑢 1 4 𝑤 subscript 𝑧 1 𝑤 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}),}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1bdec
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    complex parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1cdec
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    common eigenfunction
    DLMF defining formula
    Ψ ⁢ ( 𝐱 ) Ψ 𝐱 {\displaystyle{\displaystyle\Psi(\mathbf{x})}}
    xml-id
    C31.S17.XMD4.m1adec
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