Gauss-Kummer Series

$${}_2F_1(-{\textstyle{1\over 2}}, -{\textstyle{1\over 2}}; 1;... ...{\textstyle{1\over 64}}h^4+{\textstyle{1\over 256}}h^6+\ldots,$$

where ${}_2F_1(a,b;c;x)$ is a Hypergeometric Function. This can be derived using Kummer's Quadratic Transformation.