FORMULAE FOR TWO WEIGHTED BINOMIAL IDENTITIES WITH THE FALLING FACTORIALS

Kilic E., ÖMÜR N., KOPARAL S.

ARS COMBINATORIA, vol.138, pp.223-231, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 138
  • Publication Date: 2018
  • Journal Name: ARS COMBINATORIA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.223-231
  • Kocaeli University Affiliated: Yes

Abstract

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.