Infinite matrix products and the representation of the matrix gamma function. (English) Zbl 1383.15026

Cortés, J.-C.; Jódar, L.; Solís, Francisco J.; Ku-Carrillo, Roberto

Abstr. Appl. Anal. 2015, Article ID 564287, 8 p. (2015).

Summary: 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.

MSC:

15A99	Basic linear algebra
33B15	Gamma, beta and polygamma functions

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