Formula:7643

Digital Library of Mathematical Functions ID 22.6.E16

${\displaystyle{\displaystyle\operatorname{cs}\left(2z,k\right)=\frac{{\operatorname{cs}^{4}}\left(z,k\right)-{k^{\prime}}^{2}}{2\operatorname{cs}\left(z,k\right)\operatorname{ds}\left(z,k\right)\operatorname{ns}\left(z,k\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{cs}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\operatorname{ds}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle\operatorname{ns}\left(\NVar{z},\NVar{k}\right)}}$: Jacobian elliptic function
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
• ${\displaystyle{\displaystyle k^{\prime}}}$: complementary modulus
 

Resources that cite this formula

No records found.