Some Properties of the (p, q)-Fibonacci and (p, q)-Lucas Polynomials

نویسندگان

  • Gwang Yeon Lee
  • Mustafa Asci
چکیده

Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called p, q -Fibonacci polynomials. We obtain combinatorial identities and by using Riordanmethodwe get factorizations of Pascal matrix involving p, q -Fibonacci polynomials.

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عنوان ژورنال:
  • J. Applied Mathematics

دوره 2012  شماره 

صفحات  -

تاریخ انتشار 2012