Formula:7649

Digital Library of Mathematical Functions ID 22.6.E22

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \genJacobiellk{p}{q}^{2}@{\tfrac{1}{2}z}{k}=\frac{\genJacobiellk{p}{s}@{z}{k}+\genJacobiellk{r}{s}@{z}{k}}{\genJacobiellk{q}{s}@{z}{k}+\genJacobiellk{r}{s}@{z}{k}}=\frac{\genJacobiellk{p}{q}@{z}{k}+\genJacobiellk{r}{q}@{z}{k}}{1+\genJacobiellk{r}{q}@{z}{k}}=\frac{\genJacobiellk{p}{r}@{z}{k}+1}{\genJacobiellk{q}{r}@{z}{k}+1}.}

Symbols List

• ${\displaystyle{\displaystyle\operatorname{pq}\left(\NVar{z},\NVar{k}\right)}}$: generic Jacobian elliptic function
• ${\displaystyle{\displaystyle z}}$: complex
• ${\displaystyle{\displaystyle k}}$: modulus
 

Resources that cite this formula

No records found.