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DLMF:22.15.E21

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Formula:7809
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MaRDI QIDQ7809

  • Label: DLMF:22.15.E21


Digital Library of Mathematical Functions ID 22.15.E21

arcns ⁑ ( x , k ) = ∫ x ∞ d t ( t 2 - 1 ) ⁒ ( t 2 - k 2 ) , inverse-Jacobi-elliptic-ns π‘₯ π‘˜ superscript subscript π‘₯ 𝑑 superscript 𝑑 2 1 superscript 𝑑 2 superscript π‘˜ 2 {\displaystyle{\displaystyle\operatorname{arcns}\left(x,k\right)=\int_{x}^{% \infty}\frac{\mathrm{d}t}{\sqrt{(t^{2}-1)(t^{2}-k^{2})}},}}


Constraint(s)

1 ≀ x < ∞ 1 π‘₯ {\displaystyle{\displaystyle 1\leq x<\infty}}

Symbols List

  • d x π‘₯ {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • arcns ⁑ ( x , k ) inverse-Jacobi-elliptic-ns π‘₯ π‘˜ {\displaystyle{\displaystyle\operatorname{arcns}\left(\NVar{x},\NVar{k}\right)}} :
  • x π‘₯ {\displaystyle{\displaystyle x}} : real
  • k π‘˜ {\displaystyle{\displaystyle k}} : modulus
  •  Edit this on Wikidata

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