Template:Math/EQ EllipticIntegral04

	$E(\mu )$	$=$	$1+\frac{1}{2}(\ln \frac{4}{k^{\prime }}-\frac{1}{1\cdot 2})(k^{\prime }{)}^2+\frac{1^2\cdot 3}{2^2\cdot 4}(\ln \frac{4}{k^{\prime }}-\frac{2}{1\cdot 2}-\frac{1}{3\cdot 4})(k^{\prime }{)}^4+\frac{1^2\cdot 3^2\cdot 5}{2^2\cdot 4^2\cdot 6}(\ln \frac{4}{k^{\prime }}-\frac{2}{1\cdot 2}-\frac{2}{3\cdot 4}-\frac{1}{5\cdot 6})(k^{\prime }{)}^6+\cdots$
Gradshteyn & Ryzhik (1965), §8.114.3
where:   $k^{\text{'}}\equiv (1-{\mu }^2{)}^{1/2}$