DLMF:18.33#Ex1 (Q6013)

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DLMF:18.33#Ex1
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    Defining formula
    w 1 ⁢ ( x ) = ( 1 - x 2 ) - 1 2 ⁢ w ⁢ ( x + i ⁢ ( 1 - x 2 ) 1 2 ) , subscript 𝑤 1 𝑥 superscript 1 superscript 𝑥 2 1 2 𝑤 𝑥 imaginary-unit superscript 1 superscript 𝑥 2 1 2 {\displaystyle{\displaystyle w_{1}(x)=(1-x^{2})^{-\frac{1}{2}}w\left(x+\mathrm% {i}(1-x^{2})^{\frac{1}{2}}\right),}}
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    DLMF id
    DLMF:18.33#Ex1
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