论文标题
关于余弦与卡尔森的椭圆形成$ r_d $之间关系的简短说明
Short note on a relation between the inverse of the cosine and Carlson's elliptic integral $R_D$
论文作者
论文摘要
对于卡尔森的椭圆积分$ r_d $,我们证明了一个简单的关系。这些发现应用于第二刻的角度中央高斯分布的某些矩的渐近公式。
We prove a simple relation for a special case of Carlson's elliptic integral $R_D$. The findings are applied to derive explicit formulae for the asymptotics of certain moments of the angular central Gaussian distribution in terms of the second moment.