论文标题
矩阵参数高斯高几何函数的反射公式
A Reflection Formula for the Gaussian Hypergeometric Function of Matrix Argument
论文作者
论文摘要
我们获得了真实对称矩阵参数的高斯高几何函数的反射公式。我们还表明，该结果扩展到在对称锥上定义的高斯高几何函数，甚至扩展到按照插孔多项式系列来定义的高斯高几何函数的概括。最后，我们获得了Hermitian $ 2 \ times 2 $矩阵参数的高斯高几何函数的二次变换公式。
We obtain a reflection formula for the Gaussian hypergeometric function of real symmetric matrix argument. We also show that this result extends to the Gaussian hypergeometric function defined over the symmetric cones, and even to generalizations of the Gaussian hypergeometric function defined in terms of series of Jack polynomials. Finally, we obtain a quadratic transformation formula for the Gaussian hypergeometric function of Hermitian $2 \times 2$ matrix argument.
