On the Sums of Powers of Chebyshev Polynomials and Their Divisible Properties
The main purpose of this paper is using mathematical induction and the Girard and Waring formula to study a problem involving the sums of powers of the Chebyshev polynomials and prove some divisible properties. We obtained two interesting congruence results involving Fibonacci numbers and Lucas numb...
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| Veröffentlicht in: | Mathematical problems in engineering 2017-01, Vol.2017 (2017), p.1-6 |
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| container_title | Mathematical problems in engineering |
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| creator | Zhang, Lan Zhang, Wenpeng |
| description | The main purpose of this paper is using mathematical induction and the Girard and Waring formula to study a problem involving the sums of powers of the Chebyshev polynomials and prove some divisible properties. We obtained two interesting congruence results involving Fibonacci numbers and Lucas numbers as some applications of our theorem. |
| doi_str_mv | 10.1155/2017/9363680 |
| format | Article |
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| ispartof | Mathematical problems in engineering, 2017-01, Vol.2017 (2017), p.1-6 |
| issn | 1024-123X 1563-5147 |
| language | eng |
| recordid | cdi_proquest_journals_1983448155 |
| source | Wiley Online Library Open Access; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | Chebyshev approximation Fibonacci numbers Mathematical problems Polynomials Sums |
| title | On the Sums of Powers of Chebyshev Polynomials and Their Divisible Properties |
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