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On the Products of -Fibonacci Numbers and -Lucas Numbers

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Listed:
  • Bijendra Singh
  • Kiran Sisodiya
  • Farooq Ahmad

Abstract

In this paper we investigate some products of -Fibonacci and -Lucas numbers. We also present some generalized identities on the products of -Fibonacci and -Lucas numbers to establish connection formulas between them with the help of Binet's formula.

Suggested Citation

  • Bijendra Singh & Kiran Sisodiya & Farooq Ahmad, 2014. "On the Products of -Fibonacci Numbers and -Lucas Numbers," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-4, June.
    • Handle: RePEc:hin:jijmms:505798
    DOI: 10.1155/2014/505798
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    References listed on IDEAS

    as
    1. Falcón, Sergio & Plaza, Ángel, 2007. "On the Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1615-1624.
    2. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
    3. Falcón, Sergio & Plaza, Ángel, 2008. "On the 3-dimensional k-Fibonacci spirals," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 993-1003.
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