DLMF:7.12.E4 (Q2415)

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DLMF:7.12.E4
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    Defining formula
    f ⁡ ( z ) = 1 π ⁢ z ⁢ ∑ m = 0 n - 1 ( - 1 ) m ⁢ ( 1 2 ) 2 ⁢ m ( π ⁢ z 2 / 2 ) 2 ⁢ m + R n ( f ) ⁢ ( z ) , Fresnel-auxilliary-function-f 𝑧 1 𝜋 𝑧 superscript subscript 𝑚 0 𝑛 1 superscript 1 𝑚 Pochhammer 1 2 2 𝑚 superscript 𝜋 superscript 𝑧 2 2 2 𝑚 superscript subscript 𝑅 𝑛 Fresnel-auxilliary-function-f 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\frac{1}{\pi z}\sum_{m=0}% ^{n-1}(-1)^{m}\frac{{\left(\tfrac{1}{2}\right)_{2m}}}{(\pi z^{2}/2)^{2m}}+R_{n% }^{(\mathrm{f})}(z),}}
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    DLMF id
    DLMF:7.12.E4
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