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Formula:9505

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Digital Library of Mathematical Functions ID 29.18#Ex12

β = K ⁡ + i ⁢ β ′ , 𝛽 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit superscript 𝛽 ′ {\displaystyle{\displaystyle\beta=K+\mathrm{i}\beta^{\prime},}}


Constraint(s)

0 ≤ β ′ ≤ 2 ⁢ K ′ ⁡ , 0 ≤ γ ≤ 4 ⁢ K ⁡ formulae-sequence 0 superscript 𝛽 ′ 2 complementary-complete-elliptic-integral-first-kind-K 𝑘 0 𝛾 4 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle 0\leq\beta^{\prime}\leq 2{K^{\prime}},0\leq\gamma% \leq 4K}}

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    This page was last edited on 28 January 2024, at 10:02.
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