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Formula:10015

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Digital Library of Mathematical Functions ID 32.7.E28

Φ = z ⁢ W 0 ′ - ε 2 ⁢ 2 ⁢ α 0 ⁢ W 0 2 + ε 3 ⁢ - 2 ⁢ β 0 + ( ε 2 ⁢ 2 ⁢ α 0 - ε 3 ⁢ - 2 ⁢ β 0 + ε 1 ⁢ z ) ⁢ W 0 , Φ 𝑧 superscript subscript 𝑊 0 ′ subscript 𝜀 2 2 subscript 𝛼 0 superscript subscript 𝑊 0 2 subscript 𝜀 3 2 subscript 𝛽 0 subscript 𝜀 2 2 subscript 𝛼 0 subscript 𝜀 3 2 subscript 𝛽 0 subscript 𝜀 1 𝑧 subscript 𝑊 0 {\displaystyle{\displaystyle\Phi=zW_{0}^{\prime}-\varepsilon_{2}\sqrt{2\alpha_% {0}}W_{0}^{2}+\varepsilon_{3}\sqrt{-2\beta_{0}}+\left(\varepsilon_{2}\sqrt{2% \alpha_{0}}-\varepsilon_{3}\sqrt{-2\beta_{0}}+\varepsilon_{1}z\right)W_{0},}}


Constraint(s)

Symbols List

  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  • α 𝛼 {\displaystyle{\displaystyle\alpha}} : arbitrary constant
  • β 𝛽 {\displaystyle{\displaystyle\beta}} : arbitrary constant
  • ε j = ± 1 subscript 𝜀 𝑗 plus-or-minus 1 {\displaystyle{\displaystyle\varepsilon_{j}=\pm 1}} : = ε j ± 1
  • Φ Φ {\displaystyle{\displaystyle\Phi}} : Φ
  • W j subscript 𝑊 𝑗 {\displaystyle{\displaystyle W_{j}}} : transformation
  •  Edit this on Wikidata

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