Formula:7263

Digital Library of Mathematical Functions ID 19.26.E13

${\displaystyle{\displaystyle R_{C}\left(\alpha^{2},\alpha^{2}-\theta\right)+R_{C}\left(\beta^{2},\beta^{2}-\theta\right)=R_{C}\left(\sigma^{2},\sigma^{2}-\theta\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\sigma=(\alpha\beta+\theta)/(\alpha+\beta)}}$

Symbols List

• ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$: Carlson’s combination of inverse circular and inverse hyperbolic functions
• ${\displaystyle{\displaystyle\alpha^{2}}}$: real or complex parameter
 

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