DLMF:19.22.E12 (Q6451)

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DLMF:19.22.E12
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    Defining formula
    R J ⁡ ( 0 , g 0 2 , a 0 2 , p 0 2 ) = 3 ⁢ π 4 ⁢ M ⁡ ( a 0 , g 0 ) ⁢ p 0 2 ⁢ ∑ n = 0 ∞ Q n , Carlson-integral-RJ 0 superscript subscript 𝑔 0 2 superscript subscript 𝑎 0 2 superscript subscript 𝑝 0 2 3 𝜋 4 arithmetic-geometric-mean subscript 𝑎 0 subscript 𝑔 0 superscript subscript 𝑝 0 2 superscript subscript 𝑛 0 subscript 𝑄 𝑛 {\displaystyle{\displaystyle R_{J}\left(0,g_{0}^{2},a_{0}^{2},p_{0}^{2}\right)% =\frac{3\pi}{4M\left(a_{0},g_{0}\right)p_{0}^{2}}\sum_{n=0}^{\infty}Q_{n},}}
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    DLMF id
    DLMF:19.22.E12
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