矩阵变分情形下的分式算子
Fractional Operators in the Matrix Variate Case
摘要：
分数次积分算子与矩阵辐角的实值标量函数相联系，在数学、统计和自然科学中有着广泛的应用。在这篇文章中，我们开始考虑的情况下，高斯超几何函数的论点是一个矩形矩阵。随后引入了一些分数次积分算子，补充了矩阵变量情形下分数次算子的已有结果。导出了一些性质和极限形式。然后，路径的想法被纳入几个不同的功能形式之间移动。当这些被用作自然科学中问题的模型时，这些可以覆盖理想情况，社区，在通往最佳情况的阶段和路径之间。
英文摘要：
Fractional integral operators connected with real-valued scalar functions of matrix argument are applied in problems of mathematics, statistics and natural sciences. In this article we start considering the case of a Gauss hypergeometric function with the argument being a rectangular matrix. Subsequently some fractional integral operators are introduced which complement these results available on fractional operators in the matrix variate cases. Several properties and limiting forms are derived. Then the pathway idea is incorporated to move among several different functional forms. When these are used as models for problems in the natural sciences then these can cover the ideal situations, neighborhoods, in between stages and paths leading to optimal situations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
