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Formula:9823

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Digital Library of Mathematical Functions ID 31.15.E12

ρ ⁢ ( z ) = ( ∏ j = 1 N - 1 ∏ k = 1 N | z j - a k | γ k - 1 ) ⁢ ( ∏ j < k N - 1 ( z k - z j ) ) . 𝜌 𝑧 superscript subscript product 𝑗 1 𝑁 1 superscript subscript product 𝑘 1 𝑁 superscript subscript 𝑧 𝑗 subscript 𝑎 𝑘 subscript 𝛾 𝑘 1 superscript subscript product 𝑗 𝑘 𝑁 1 subscript 𝑧 𝑘 subscript 𝑧 𝑗 {\displaystyle{\displaystyle\rho(z)=\left(\prod_{j=1}^{N-1}\prod_{k=1}^{N}|z_{% j}-a_{k}|^{\gamma_{k}-1}\right)\left(\prod_{j<k}^{N-1}(z_{k}-z_{j})\right).}}


Constraint(s)

Symbols List

  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • γ 𝛾 {\displaystyle{\displaystyle\gamma}} : real or complex parameter
  • j 𝑗 {\displaystyle{\displaystyle j}} : 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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