Formula:7095

Digital Library of Mathematical Functions ID 19.20.E14

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle (q+z)\CarlsonsymellintRJ@{x}{y}{z}{-q}=(p-z)\CarlsonsymellintRJ@{x}{y}{z}{p}-3\CarlsonsymellintRF@{x}{y}{z}+3\left(\frac{xyz}{xy+pq}\right)^{1/2}\CarlsonellintRC@{xy+pq}{pq},}

Symbols List

• ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$: Carlson’s combination of inverse circular and inverse hyperbolic functions
• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}\right)}}$: symmetric elliptic integral of third kind
 

Resources that cite this formula

No records found.