DLMF:1.15.E39 (Q581)

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DLMF:1.15.E39
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    Φ ( z ) = Φ ( x + i y ) = i π - f ( t ) 1 ( x - t ) + i y d t , Φ 𝑧 Φ 𝑥 𝑖 𝑦 𝑖 𝜋 subscript superscript 𝑓 𝑡 1 𝑥 𝑡 𝑖 𝑦 𝑡 {\displaystyle{\displaystyle\Phi(z)=\Phi(x+iy)=\frac{i}{\pi}\int^{\infty}_{-% \infty}f(t)\frac{1}{(x-t)+iy}\mathrm{d}t,}}
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