On the Sums of Powers of Chebyshev Polynomials and Their Divisible Properties

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
Hauptverfasser: Zhang, Lan, Zhang, Wenpeng
Format: Artikel
Sprache:eng
Schlagworte:
Chebyshev approximation
Fibonacci numbers
Mathematical problems
Polynomials
Sums
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Beschreibung
Zusammenfassung: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2017/9363680