Now showing items 1-3 of 3

    • Formulae for two weighted binomial identities with the falling factorials 

      Kılıç, Emrah; Ömür, Neşe; Koparal, Sibel (Charles Babbage Research Centre, 2018-04)
      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 ...
    • Formulas for binomial sums including powers of fibonacci and lucas numbers 

      Kılıç, Emrah; Akkus, Ilker; Omur, Nese; Ulutas, Yucel Turker (Politechnica University of Bucharest, 2015)
      Recently Prodinger [2] proved general expansion formulas for sums of powers of Fibonacci and Lucas numbers. In this paper, we will prove general expansion formulas for binomial sums of powers of Fibonacci and Lucas numbers.
    • On Binomial Double Sums with Fibonacci and Lucas numbers-I 

      Kılıç, Emrah; Taşdemir, Funda (Charles Babbage Research Centre, 2019-04)
      In this paper, we compute various binomial double sums involving the generalized Fibonacci and Lucas numbers as well as their alternating analogous.