On generalized K-Fibonacci sequence by two-cross-two matrix

  • Authors

    • Arfat Ahmad Wani Vikram University Ujjain, India
    • G. P. S. Rathore
    • Kiran Sisodiya
    2016-12-23
    https://doi.org/10.14419/gjma.v5i1.6949
  • k-Fibonacci Sequence, Generalized k-Fibonacci Sequence, Binet’s Formula, Diagonalization of a Matrix.

  • Abstract

    In this study we define a new generalized k-Fibonacci sequence associated with its two cross two matrix called generating matrix. After use the matrix representation we find many interesting properties such as nth power of the matrix, Cassini's Identity of generalized k-Fibonacci sequence as well as Binet's formula for generalized k-Fibonacci sequence by the method of matrix diagonalization.

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  • How to Cite

    Wani, A. A., Rathore, G. P. S., & Sisodiya, K. (2016). On generalized K-Fibonacci sequence by two-cross-two matrix. Global Journal of Mathematical Analysis, 5(1), 1-5. https://doi.org/10.14419/gjma.v5i1.6949

    Received date: 2016-11-15

    Accepted date: 2016-12-09

    Published date: 2016-12-23