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 İndekslerine Giren Dergi)

  • Cilt numarası: 138
  • Basım Tarihi: 2018
  • Dergi Adı: ARS COMBINATORIA
  • Sayfa Sayısı: ss.223-231

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.