DLMF:19.5.E5 (Q6134): Difference between revisions

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Property / constraint
 

0 k 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}}

0\leq k\leq 1
Property / constraint: 0 k 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}} / rank
 
Normal rank

Revision as of 17:04, 30 December 2019

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DLMF:19.5.E5
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    q = exp ( - π K ( k ) / K ( k ) ) = r + 8 r 2 + 84 r 3 + 992 r 4 + , 𝑞 𝜋 complementary-complete-elliptic-integral-first-kind-K 𝑘 complete-elliptic-integral-first-kind-K 𝑘 𝑟 8 superscript 𝑟 2 84 superscript 𝑟 3 992 superscript 𝑟 4 {\displaystyle{\displaystyle q=\exp\left(-\pi{K^{\prime}}\left(k\right)/K\left% (k\right)\right)=r+8r^{2}+84r^{3}+992r^{4}+\cdots,}}
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    0 k 1 0 𝑘 1 {\displaystyle{\displaystyle 0\leq k\leq 1}}
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