Formula:7161

Digital Library of Mathematical Functions ID 19.22.E19

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle (z_{\pm}^{2}-z_{\mp}^{2})\CarlsonsymellintRD@{x^{2}}{y^{2}}{z^{2}}={2(z_{\pm}^{2}-a^{2})}\CarlsonsymellintRD@{a^{2}}{z_{\mp}^{2}}{z_{\pm}^{2}}-3\CarlsonsymellintRF@{x^{2}}{y^{2}}{z^{2}}+(3/z),}

Symbols List

• ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: elliptic integral symmetric in only two variables
• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
 

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