DLMF:8.4.E14 (Q2508)

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DLMF:8.4.E14
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    Defining formula
    Q ⁡ ( n + 1 2 , z 2 ) = erfc ⁡ ( z ) + e - z 2 π ⁢ ∑ k = 1 n z 2 ⁢ k - 1 ( 1 2 ) k , incomplete-gamma-Q 𝑛 1 2 superscript 𝑧 2 complementary-error-function 𝑧 superscript 𝑒 superscript 𝑧 2 𝜋 superscript subscript 𝑘 1 𝑛 superscript 𝑧 2 𝑘 1 Pochhammer 1 2 𝑘 {\displaystyle{\displaystyle Q\left(n+\tfrac{1}{2},z^{2}\right)=\operatorname{% erfc}\left(z\right)+\frac{e^{-z^{2}}}{\sqrt{\pi}}\sum_{k=1}^{n}\frac{z^{2k-1}}% {{\left(\tfrac{1}{2}\right)_{k}}},}}
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    DLMF id
    DLMF:8.4.E14
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