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Fibonacci-Like Polynomials and Some Properties

Author(s): Shikha Bhatnagar | Bijendra Singh | Omprakash Sikhwal

Journal: International Journal of Advanced Mathematical Sciences
ISSN 2307-454X

Volume: 1;
Issue: 3;
Start page: 152;
Date: 2013;
Original page

The Fibonacci and generalized Fibonacci polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, we introduce Fibonacci-Like polynomials (FLP) and describe some properties. We obtain few properties by defined Fibonacci-Like polynomials - matrix. Further we establish few identities like Catalan’s, Cassini’s, d’Ocagne’s  through Binet’s formula and few identities  by using explicit summation formula which are related to hypergeometric functions of FLP.
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