Formula:7290

Digital Library of Mathematical Functions ID 19.27.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \CarlsonsymellintRF@{x}{y}{z}=\frac{1}{2\sqrt{z}}\left(\ln@@{\frac{8z}{a+g}}\right)\left(1+\bigO@{\frac{a}{z}}\right),}

Constraint(s)

${\displaystyle{\displaystyle a/z\to 0}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle a}}$: a
• ${\displaystyle{\displaystyle g}}$: g
 

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