IJPAM: Volume 96, No. 2 (2014)
MATRIX FAMILY AND THE FIBONACCI NUMBERS
Department of Mathematics
Polatlı Art and Science Faculty
06900, Ankara, TURKEY
Graduate School of Information Science
Technology Aichi Prefectural University
Aichi 480-1198, JAPAN
Abstract. In this note, we provide arbitrary integer powers for another type of -tridiagonal matrix family whose integer powers are specified to the famous Fibonacci numbers.
Received: July 14, 2014
AMS Subject Classification: 15A18, 15A15
Key Words and Phrases: -tridiagonal matrix, Chebyshev polynomial, determinant, Fibonacci numbers
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DOI: 10.12732/ijpam.v96i2.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 289 - 298