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Formula:10082

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Digital Library of Mathematical Functions ID 32.9.E3

w ⁢ ( z ; - ν 2 ⁢ λ , 0 , ν 2 ⁢ ( λ 2 - 4 ⁢ κ ⁢ μ ) , 0 ) = z ν - 1 κ ⁢ z 2 ⁢ ν + λ ⁢ z ν + μ , 𝑤 𝑧 superscript 𝜈 2 𝜆 0 superscript 𝜈 2 superscript 𝜆 2 4 𝜅 𝜇 0 superscript 𝑧 𝜈 1 𝜅 superscript 𝑧 2 𝜈 𝜆 superscript 𝑧 𝜈 𝜇 {\displaystyle{\displaystyle w(z;-\nu^{2}\lambda,0,\nu^{2}(\lambda^{2}-4\kappa% \mu),0)=\dfrac{z^{\nu-1}}{\kappa z^{2\nu}+\lambda z^{\nu}+\mu},}}


Constraint(s)

Symbols List

  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  • κ 𝜅 {\displaystyle{\displaystyle\kappa}} : constant
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : constant
  • μ 𝜇 {\displaystyle{\displaystyle\mu}} : constant
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : constant
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