On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/451953 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560584235679744 |
|---|---|
| author | Yang Li |
| author_facet | Yang Li |
| author_sort | Yang Li |
| collection | DOAJ |
| description | We study the relationship of the Chebyshev polynomials,
Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials
and Fibonacci polynomials. At last, we get several identities about the Fibonacci
numbers and Lucas numbers. |
| format | Article |
| id | doaj-art-21bf00b6985947d398f698f9df52975c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-21bf00b6985947d398f698f9df52975c2025-02-03T01:27:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/451953451953On Chebyshev Polynomials, Fibonacci Polynomials, and Their DerivativesYang Li0Department of Mathematics, Northwest University, Xi’an, Shaanxi 710127, ChinaWe study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.http://dx.doi.org/10.1155/2014/451953 |
| spellingShingle | Yang Li On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives Journal of Applied Mathematics |
| title | On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives |
| title_full | On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives |
| title_fullStr | On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives |
| title_full_unstemmed | On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives |
| title_short | On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives |
| title_sort | on chebyshev polynomials fibonacci polynomials and their derivatives |
| url | http://dx.doi.org/10.1155/2014/451953 |
| work_keys_str_mv | AT yangli onchebyshevpolynomialsfibonaccipolynomialsandtheirderivatives |