The determinants of matrices with recursive entries

✍ Scribed by A.R. Moghaddamfar; S. Navid Salehy; S. Nima Salehy

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 145 KB
• Volume: 428
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2007.11.021

✦ Synopsis

We prove a result concerning the evaluation of determinant of a matrix, whose entries are given by certain linear inhomogeneous recurrence relations. This result generalizes previous determinants evaluations due to Krattenthaler, Neuwirth and the authors in [C. Krattenthaler, Evaluations of some determinants of matrices related to the Pascal triangle, Sém. Lothar. Combin. 47 (2002), 19, Article B47g; E. Neuwirth, Treeway Galton arrays and generalized Pascal-like determinants,