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Formula:9430

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Digital Library of Mathematical Functions ID 29.14.E4

𝑠𝐸 2 ⁒ n + 1 m ⁑ ( s , k 2 ) ⁒ 𝑠𝐸 2 ⁒ n + 1 m ⁑ ( K ⁑ + i ⁒ t , k 2 ) , Lame-polynomial-sE π‘š 2 𝑛 1 𝑠 superscript π‘˜ 2 Lame-polynomial-sE π‘š 2 𝑛 1 complete-elliptic-integral-first-kind-K π‘˜ imaginary-unit 𝑑 superscript π‘˜ 2 {\displaystyle{\displaystyle\mathit{sE}^{m}_{2n+1}\left(s,k^{2}\right)\mathit{% sE}^{m}_{2n+1}\left(K+\mathrm{i}t,k^{2}\right),}}


Constraint(s)

Symbols List

  • 𝑠𝐸 2 ⁒ n + 1 m ⁑ ( z , k 2 ) Lame-polynomial-sE π‘š 2 𝑛 1 𝑧 superscript π‘˜ 2 {\displaystyle{\displaystyle\mathit{sE}^{\NVar{m}}_{2\NVar{n}+1}\left(\NVar{z}% ,\NVar{k^{2}}\right)}} : LamΓ© polynomial
  • K ⁑ ( k ) complete-elliptic-integral-first-kind-K π‘˜ {\displaystyle{\displaystyle K\left(\NVar{k}\right)}} : Legendre’s complete elliptic integral of the first kind
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • m π‘š {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • k π‘˜ {\displaystyle{\displaystyle k}} : real parameter
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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