DLMF:19.9.E13 (Q6256)

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DLMF:19.9.E13
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    Defining formula
    Π ⁡ ( ϕ , α 2 , 0 ) ≤ Π ⁡ ( ϕ , α 2 , k ) ≤ min ⁡ ( Π ⁡ ( ϕ , α 2 , 0 ) / Δ , Π ⁡ ( ϕ , α 2 , 1 ) ) . elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 0 elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 𝑘 elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 0 Δ elliptic-integral-third-kind-Pi italic-ϕ superscript 𝛼 2 1 {\displaystyle{\displaystyle\Pi\left(\phi,\alpha^{2},0\right)\leq\Pi\left(\phi% ,\alpha^{2},k\right)\leq\min(\Pi\left(\phi,\alpha^{2},0\right)/\Delta,\Pi\left% (\phi,\alpha^{2},1\right)).}}
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    DLMF id
    DLMF:19.9.E13
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