Formula:6966

Digital Library of Mathematical Functions ID 19.10.E2

${\displaystyle{\displaystyle(\sinh\phi)R_{C}\left(1,{\cosh^{2}}\phi\right)=\operatorname{gd}\left(\phi\right).}}$

Symbols List

• ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$: Carlson’s combination of inverse circular and inverse hyperbolic functions
• ${\displaystyle{\displaystyle\operatorname{gd}\NVar{x}}}$: Gudermannian function
• ${\displaystyle{\displaystyle\cosh\NVar{z}}}$: hyperbolic cosine function
• ${\displaystyle{\displaystyle\sinh\NVar{z}}}$: hyperbolic sine function
• ${\displaystyle{\displaystyle\phi}}$: real or complex argument
 

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