Report
Powers of a matrix and combinatorial identities
| العنوان: | Powers of a matrix and combinatorial identities |
|---|---|
| المؤلفون: | Laughlin, James Mc, Sury, B. |
| المصدر: | INTEGERS: The Electronic Journal of Combinatorial Number Theory 5 (2005), A13, 9 pp |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 05A19 |
| الوصف: | In this article we obtain a general polynomial identity in $k$ variables, where $k\geq 2$ is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a $k \times k$ matrix. Finally, we use these results to derive various combinatorial identities. Comment: 9 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1812.11279 |
| رقم الانضمام: | edsarx.1812.11279 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |