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https://hdl.handle.net/20.500.11851/3744| 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 |
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. | URI: | https://hdl.handle.net/20.500.11851/3744 https://doi.org/10.1007/s40995-020-00843-1 |
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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