Infinite Matrix Products and the Representation of the Matrix Gamma Function-Reference-Cited by-同舟云学术

Infinite Matrix Products and the Representation of the Matrix Gamma Function

Published:2015 Issue: Volume:2015 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Cortés J.-C.¹,Jódar L.¹,Solís Francisco J.²,Ku-Carrillo Roberto³

Affiliation:

1. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain

2. CIMAT, 36000 Guanajuato, GTO, Mexico

3. Universidad Autónoma de Aguascalientes, 20131 Aguascalientes, AGS, Mexico

Abstract

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.

Funder

Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/564287.pdf

Reference17 articles.

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