Infinite Matrix Products and the Representation of the Matrix Gamma Function
Infinite Matrix Products and the Representation of the Matrix Gamma Function
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DOI：
10.1155/2015/564287
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发表时间：
2015-12
影响因子：
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通讯作者：
J. Cortés;L. Jódar;F. Solis;Roberto A. Ku-Carrillo
中科院分区：
文献类型：
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作者：
J. Cortés;L. Jódar;F. Solis;Roberto A. Ku-Carrillo
我们介绍了无限矩阵乘积，包括它们的一些主要性质和收敛结果。我们将它们应用于矩阵情形，以便将由魏尔斯特拉斯的无穷积给出的标量伽马函数的定义推广到矩阵情形。还提供了矩阵伽马函数的极限表示。
We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass. A limit representation of the matrix gamma function is also provided.