Formula:7182

Digital Library of Mathematical Functions ID 19.24.E5

${\displaystyle{\displaystyle\frac{1}{a_{n}}\leq\frac{2}{\pi}R_{F}\left(0,a_{0}^{2},g_{0}^{2}\right)\leq\frac{1}{g_{n}},}}$

Constraint(s)

${\displaystyle{\displaystyle n=0,1,2,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$: symmetric elliptic integral of first kind
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle a_{n}}}$: iterate
• ${\displaystyle{\displaystyle g_{n}}}$: iterate
 

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