Abstract
The matrix Mittag–Leffler (ML) functions are receiving great attention at the moment. As a matter of fact, in many applications, the matrix argument has special features and/or structure and is important to know if the application of ML functions preserves them. We collect results here that can help researchers working with this topic and who usually struggle to find them because they are scattered around or not explicitly derived for the special case of ML functions. Furthermore, the treatment is also suitable for non-experts in linear algebra, giving adequate references to the appropriate literature. In particular, nonnegativity and circulant structure are addressed, which may be of great interest in the analysis of systems of fractional differential equations or in the context of graph theory.
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