DLMF:7.12.E3 (Q2414)

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DLMF:7.12.E3
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    Defining formula
    g ⁡ ( z ) ∼ 1 π ⁢ z ⁢ ∑ m = 0 ∞ ( - 1 ) m ⁢ ( 1 2 ) 2 ⁢ m + 1 ( π ⁢ z 2 / 2 ) 2 ⁢ m + 1 , asymptotic-expansion Fresnel-auxilliary-function-g 𝑧 1 𝜋 𝑧 superscript subscript 𝑚 0 superscript 1 𝑚 Pochhammer 1 2 2 𝑚 1 superscript 𝜋 superscript 𝑧 2 2 2 𝑚 1 {\displaystyle{\displaystyle\mathrm{g}\left(z\right)\sim\frac{1}{\pi z}\sum_{m% =0}^{\infty}(-1)^{m}\frac{{\left(\tfrac{1}{2}\right)_{2m+1}}}{(\pi z^{2}/2)^{2% m+1}},}}
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    DLMF id
    DLMF:7.12.E3
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