Generalized Fibonacci Polynomials and some Identities | Zendy

G. L. P. | Zendy; Omprakash Sikhwal | Zendy; Ritu Choudhary | Zendy

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Generalized Fibonacci Polynomials and some Identities

Author(s) -

G. L. P.,

Omprakash Sikhwal,

Ritu Choudhary

Publication year - 2016

Publication title -

international journal of computer applications

Language(s) - English

Resource type - Journals

ISSN - 0975-8887

DOI - 10.5120/ijca2016911990

Subject(s) - fibonacci number , computer science , fibonacci polynomials , algebra over a field , orthogonal polynomials , discrete mathematics , combinatorics , pure mathematics , mathematics , difference polynomials

The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. Generalization of Fibonacci polynomial has been done using various approaches. One usually found in the literature that the generalization is done by varying the initial conditions. In this paper, Generalized Fibonacci polynomials are defined by W n (X)=XW n-1 (X)+W n-2 (X); n≥2 with W 0 (X)=2b and W 1 (X) = a+b, where a and b are integers. Further, some basic identities are generated and

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