Formula:7270

Digital Library of Mathematical Functions ID 19.26.E17

${\displaystyle{\displaystyle\sqrt{\alpha}R_{C}\left(\beta,\alpha+\beta\right)+\sqrt{\beta}R_{C}\left(\alpha,\alpha+\beta\right)=\pi/2,}}$

Constraint(s)

${\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}$
${\displaystyle{\displaystyle\alpha,\beta\in\mathbb{C}\setminus(-\infty,0)}}$
${\displaystyle{\displaystyle\alpha+\beta>0}}$

Symbols List

• ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$: Carlson’s combination of inverse circular and inverse hyperbolic functions
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathbb{C}}}$:
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}$:
• ${\displaystyle{\displaystyle\setminus}}$:
• ${\displaystyle{\displaystyle\alpha^{2}}}$: real or complex parameter
 

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