DLMF:19.12.E1 (Q6298)

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DLMF:19.12.E1
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    test
    K ⁡ ( k ) = ∑ m = 0 ∞ ( 1 2 ) m ⁢ ( 1 2 ) m m ! ⁢ m ! ⁢ k ′ 2 ⁢ m ⁢ ( ln ⁡ ( 1 k ′ ) + d ⁢ ( m ) ) , complete-elliptic-integral-first-kind-K 𝑘 superscript subscript 𝑚 0 Pochhammer 1 2 𝑚 Pochhammer 1 2 𝑚 𝑚 𝑚 superscript superscript 𝑘 ′ 2 𝑚 1 superscript 𝑘 ′ 𝑑 𝑚 {\displaystyle{\displaystyle K\left(k\right)=\sum_{m=0}^{\infty}\frac{{\left(% \tfrac{1}{2}\right)_{m}}{\left(\tfrac{1}{2}\right)_{m}}}{m!\;m!}{k^{\prime}}^{% 2m}\left(\ln\left(\frac{1}{k^{\prime}}\right)+d(m)\right),}}
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    DLMF id
    DLMF:19.12.E1
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