FORMULAE FOR TWO WEIGHTED BINOMIAL IDENTITIES WITH THE FALLING FACTORIALS

Kilic E., ÖMÜR N., KOPARAL S.

ARS COMBINATORIA, cilt.138, ss.223-231, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 138
  • Basım Tarihi: 2018
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.223-231
  • Anahtar Kelimeler: Binary linear recurrences, binomial sums, closed formula, operator, LUCAS-NUMBERS, POWERS, SUMS, FIBONACCI
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with the generalized Fibonacci and Lucas numbers including both falling factorials and powers of indices. Furthermore we will derive closed formulae for weighted binomial sums including odd powers of the generalized Fibonacci and Lucas numbers.