• Title of article

    SOME NEW IDENTITIES CONCERNING GENERALIZED FIBONACCI AND LUCAS NUMBERS

  • Author/Authors

    Siar, Zafer Bilecik Seyh Edebali University - Faculty of Science and Arts - Department of Mathematics, Turkey , Keskin, Refik Sakarya University - Faculty of Science and Arts - Department of Mathematics, Turkey

  • From page
    211
  • To page
    222
  • Abstract
    In this paper we obtain some identities containing generalized Fibonacci and Lucas numbers. Some of them are new and some are well known. By using some of these identities we give some congruences concerning generalized Fibonacci and Lucas numbers such as V2mn+r ≡ (− (− t)^m)^nV r (mod V m); U2mn+r ≡ (− (− t)m)^n^U r (mod Vm); and V2mn+r ≡ (− t)^mn V r (mod Um); U 2^mn+r ≡ (− t)mn U r (mod Um):
  • Keywords
    Generalized Fibonacci numbers , Generalized Lucas numbers
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Record number

    2650545

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2650545