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Title: Powers Sums of the First and Second Kinds of Chebyshev Polynomials
Authors: Kılıç, Emrah
Koparal, Sibel
Ömür, Neşe
Keywords: The first and second kinds Chebyshev polynomials
Power sums
Alternating sums
Fibonacci and Lucas numbers
Issue Date: Apr-2020
Publisher: Springer
Source: Kılıç, E., Koparal, S., & Ömür, N. (2020). Powers Sums of the First and Second Kinds of Chebyshev Polynomials. Iranian Journal of Science and Technology, Transactions A: Science, 1-11.
Abstract: Odd powers of even-indexed Chebyshev polynomials of the second kind and odd powers of odd-indexed Chebyshev polynomials of the first kind were computed. In this paper, we evaluate all of the rest kinds of power sums of the Chebyshev polynomials. We present the relationships between the Chebyshev polynomials and general Fibonacci, Lucas sequences.
ISSN: 1028-6276
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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