Formula:10004

Digital Library of Mathematical Functions ID 32.7.E22

${\displaystyle{\displaystyle\mathcal{T}_{3}^{\pm}:\enskip w_{3}^{\pm}=w_{0}+\frac{2\left(1-\alpha_{0}\mp\tfrac{1}{2}\sqrt{-2\beta_{0}}\right)w_{0}}{w_{0}^{\prime}\pm\sqrt{-2\beta_{0}}+2zw_{0}+w_{0}^{2}},}}$

Symbols List

• ${\displaystyle{\displaystyle z}}$: real
• ${\displaystyle{\displaystyle\alpha}}$: arbitrary constant
• ${\displaystyle{\displaystyle\beta}}$: arbitrary constant
• ${\displaystyle{\displaystyle\mathcal{T}_{j}}}$: transformation
 

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