• Some Identities for a Family of Fibonacci and Lucas Numbers

    Engin Özkan1, Ali Aydoğdu2 and İpek Altun3

    1. Department of Mathematics, Erzincan University, 24100, Erzincan, Turkey.

    2. Department of Mathematics, BeykentUniversity, 34485, İstanbul, Turkey.

    3. Department of Mathematics, Erzincan University, 24100, Erzincan, Turkey.

    Abstract: In this work, we prove some properties of a family of Fibonacci numbers and a family of Lucas numbers. Also,we give some identities between the family of Fibonacci numbers and family of Lucas numbers.

    Keywords: Fibonacci Numbers, Generalized Fibonacci Numbers, Lucas Numbers.

    Pages: 295 – 303 | Full PDF Paper