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DLMF:29.18#Ex11 - MaRDI portal

DLMF:29.18#Ex11 (Q9504)

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DLMF:29.18#Ex11
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    α = K + i K - α , 𝛼 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit complementary-complete-elliptic-integral-first-kind-K 𝑘 superscript 𝛼 {\displaystyle{\displaystyle\alpha=K+\mathrm{i}{K^{\prime}}-\alpha^{\prime},}}
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    0 α < K 0 superscript 𝛼 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle 0\leq\alpha^{\prime}<K}}
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