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Formula:6860

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Digital Library of Mathematical Functions ID 19.6.E10

lim ϕ → 0 ⁡ E ⁡ ( ϕ , k ) / ϕ = 1 . subscript → italic-ϕ 0 elliptic-integral-second-kind-E italic-ϕ 𝑘 italic-ϕ 1 {\displaystyle{\displaystyle\lim_{\phi\to 0}\ifrac{E\left(\phi,k\right)}{\phi}% =1.}}


Constraint(s)

Symbols List

  • E ⁡ ( ϕ , k ) elliptic-integral-second-kind-E italic-ϕ 𝑘 {\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}} : Legendre’s incomplete elliptic integral of the second kind
  • ϕ italic-ϕ {\displaystyle{\displaystyle\phi}} : real or complex argument
  • k 𝑘 {\displaystyle{\displaystyle k}} : real or complex modulus
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