Fibonacci-Like Polynomials and Some Properties
نویسندگان
چکیده
منابع مشابه
Some Generalized Fibonacci Polynomials
We introduce polynomial generalizations of the r-Fibonacci, r-Gibonacci, and rLucas sequences which arise in connection with two statistics defined, respectively, on linear, phased, and circular r-mino arrangements.
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In [3], H. Belbachir and F. Bencherif generalize to bivariate polynomials of Fibonacci and Lucas, properties obtained for Chebyshev polynomials. They prove that the coordinates of the bivariate polynomials over appropriate basis are families of integers satisfying remarkable recurrence relations. [7], Mario Catalani define generalized bivariate polynomials, from which specifying initial conditi...
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In this paper we generalize to bivariate polynomials of Fibonacci and Lucas, properties obtained for Chebyshev polynomials. We prove that the coordinates of the bivariate polynomials over appropriate basis are families of integers satisfying remarkable recurrence relations.
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In this paper we generalize to bivariate Fibonacci and Lucas polynomials, properties obtained for Chebyshev polynomials. We prove that the coordinates of the bivariate polynomials over appropriate bases are families of integers satisfying remarkable recurrence relations.
متن کاملOn the properties of generalized Fibonacci like polynomials
The Fibonacci polynomial has been generalized in many ways,some by preserving the initial conditions,and others by preserving the recurrence relation.In this article,we study new generalization {Mn}(x ), with initial conditions M0(x ) = 2 and M1(x ) = m (x ) + k (x ), which is generated by the recurrence relation Mn+1(x ) = k (x )Mn (x )+Mn−1(x ) for n ≥ 2, where k (x ), m (x ) are polynomials ...
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ژورنال
عنوان ژورنال: International Journal of Advanced Mathematical Sciences
سال: 2013
ISSN: 2307-454X
DOI: 10.14419/ijams.v1i3.900