Generalized Fibonacci-Lucas Polynomials

  • Authors

    • Mamta Singh School of Studies in Mathematics, Vikram University Ujjain
    • Omprakash Sikhwal Department of Mathematics, Mandsaur Institute of Technology Mandsaur (M. P.)
    • Vibhoj Parsai
    • Yogesh Gupta School of Studies in Mathematics,Vikram university,Ujjain
    2014-02-15
    https://doi.org/10.14419/ijams.v2i1.1388

  • Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci-Lucas Polynomials are introduced and defined by the recurrence relation with and . Some basic identities of Generalized Fibonacci-Lucas Polynomials are obtained by method of generating function.

     

    Keywords: Fibonacci polynomials, Lucas polynomials, Generalized Fibonacci polynomials, Generalized Fibonacci-Lucas polynomials.

     

  • References

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    Singh, M., Sikhwal, O., Parsai, V., & Gupta, Y. (2014). Generalized Fibonacci-Lucas Polynomials. International Journal of Advanced Mathematical Sciences, 2(1), 81-87. https://doi.org/10.14419/ijams.v2i1.1388