2011年2月
Bivariate Fibonacci polynomials of order k with statistical applications
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
- ,
- 巻
- 63
- 号
- 1
- 開始ページ
- 197
- 終了ページ
- 210
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s10463-008-0217-x
- 出版者・発行元
- SPRINGER HEIDELBERG
In the present article, we investigate the properties of bivariate Fibonacci polynomials of order k in terms of the generating functions. For k and l (1 <= l <= k - 1), the relationship between the bivariate Fibonacci polynomials of order k and the bivariate Fibonacci polynomials of order l is elucidated. Lucas polynomials of order k are considered. We also reveal the relationship between Lucas polynomials of order k k and Lucas polynomials of order l. The present work extends several properties of Fibonacci and Lucas polynomials of order k, which will lead us a new type of geneses of these polynomials. We point out that Fibonacci and Lucas polynomials of order k are closely related to distributions of order k and show that the distributions possess properties analogous to the bivariate Fibonacci and Lucas polynomials of order k.
- リンク情報
- ID情報
-
- DOI : 10.1007/s10463-008-0217-x
- ISSN : 0020-3157
- Web of Science ID : WOS:000286919300011