Powers Sums of the First and Second Kinds of Chebyshev Polynomials

Kilic E., KOPARAL S., ÖMÜR N.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.44, sa.2, ss.425-435, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40995-020-00843-1
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Agricultural & Environmental Science Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, Communication Abstracts, zbMATH
  • Sayfa Sayıları: ss.425-435
  • Anahtar Kelimeler: The first and second kinds Chebyshev polynomials, Power sums, Alternating sums, Fibonacci and Lucas numbers
  • Bursa Uludağ Üniversitesi Adresli: Hayır

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.