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Formula:9814

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Digital Library of Mathematical Functions ID 31.15.E4

G ⁢ ( ζ 1 , ζ 2 , … , ζ n ) = ∏ k = 1 n ∏ ℓ = 1 N ( ζ k - a ℓ ) γ ℓ / 2 ⁢ ∏ j = k + 1 n ( ζ k - ζ j ) . 𝐺 subscript 𝜁 1 subscript 𝜁 2 … subscript 𝜁 𝑛 superscript subscript product 𝑘 1 𝑛 superscript subscript product ℓ 1 𝑁 superscript subscript 𝜁 𝑘 subscript 𝑎 ℓ subscript 𝛾 ℓ 2 superscript subscript product 𝑗 𝑘 1 𝑛 subscript 𝜁 𝑘 subscript 𝜁 𝑗 {\displaystyle{\displaystyle G(\zeta_{1},\zeta_{2},\dots,\zeta_{n})=\prod_{k=1% }^{n}\prod_{\ell=1}^{N}(\zeta_{k}-a_{\ell})^{\ifrac{\gamma_{\ell}}{2}}\prod_{j% =k+1}^{n}(\zeta_{k}-\zeta_{j}).}}


Constraint(s)

Symbols List

  • γ 𝛾 {\displaystyle{\displaystyle\gamma}} : real or complex parameter
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • a 𝑎 {\displaystyle{\displaystyle a}} : complex parameter
  • N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}} : number of singularities
  •  Edit this on Wikidata

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