Article ID: | iaor20115678 |
Volume: | 217 |
Issue: | 22 |
Start Page Number: | 9122 |
End Page Number: | 9132 |
Publication Date: | Jul 2011 |
Journal: | Applied Mathematics and Computation |
Authors: | Stanimirovic Stefan |
Keywords: | geometric modelling, linear algebra |
In this paper we use the Catalan matrix power as a tool for deriving identities involving Catalan numbers and hypergeometric functions. For that purpose, we extend earlier investigated relations between the Catalan matrix and the Pascal matrix by inserting the Catalan matrix power and particulary the squared Catalan matrix in those relations. We also pay attention to some relations between Catalan matrix powers of different degrees, which allows us to derive the simplification formula for hypergeometric function