DLMF:7.11.E5 (Q2407)

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DLMF:7.11.E5
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    erfc z = 1 π e - z 2 U ( 1 2 , 1 2 , z 2 ) = z π e - z 2 U ( 1 , 3 2 , z 2 ) . complementary-error-function 𝑧 1 𝜋 superscript 𝑒 superscript 𝑧 2 Kummer-confluent-hypergeometric-U 1 2 1 2 superscript 𝑧 2 𝑧 𝜋 superscript 𝑒 superscript 𝑧 2 Kummer-confluent-hypergeometric-U 1 3 2 superscript 𝑧 2 {\displaystyle{\displaystyle\operatorname{erfc}z=\frac{1}{\sqrt{\pi}}e^{-z^{2}% }U\left(\tfrac{1}{2},\tfrac{1}{2},z^{2}\right)=\frac{z}{\sqrt{\pi}}e^{-z^{2}}U% \left(1,\tfrac{3}{2},z^{2}\right).}}
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    DLMF:7.11.E5
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