Powers Sums of the First and Second Kinds of Chebyshev Polynomials


KILIÇ E., KOPARAL S. , ÖMÜR N.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.44, ss.425-435, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40995-020-00843-1
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Sayfa Sayısı: ss.425-435

Özet

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.