Open Access BASE2015

Infinite matrix products and the representation the gamma matrix function

Cortés, J.-C; Jódar Sánchez, Lucas Antonio; Solis, Francisco Javier; Ku Carrillo, Roberto

Open Access

Abstract

1 8 ; S ; Copyright © 2015 J.-C. Cortés et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. [EN] 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. This work has been supported by Ministerio de Economía y Competitividad Grant MTM2013-41765-P. Cortés, J.; Jódar Sánchez, LA.; Solis, FJ.; Ku Carrillo, R. (2015). Infinite matrix products and the representation the gamma matrix function. Abstract and Applied Analysis. 1-8. https://doi.org/10.1155/2015/564287

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