arXiv subjects

N. Taskara

Publications and source records attributed to N. Taskara.

3 recordsLinked to original sources

arXiv2017

The Hadamard Products for bi-periodic Fibonacci and bi-periodic Lucas Generating matrices

In this paper, firstly, we define the Qq-generating matrix for bi-periodic Fibonacci polynomial. And we give nth power, determinant and some properties of the bi-periodic Fibonacci polynomial by considering this matrix representation. Also, we introduce the Hadamard products for bi-periodic Fibonacci Qnq generating matrix and bi-periodic Lucas Qnl generating matrix of which entries is bi-periodic Fibonacci and Lucas numbers. Then, we investigate some properties of these products.

math.NT↗

arXiv2017

Bi-periodic Fibonacci matrix polynomial and its binomial transforms

In this paper, we consider the matrix polynomial obtained by using bi-periodic Fibonacci matrix polynomial. Then, we give some properties and binomial transforms of the new matrix polynomials.

math.NT↗

arXiv2014

Incomplete Tribonacci-Lucas numbers and polynomials

In this paper, we define Tribonacci-Lucas polynomials and present Tribonacci-Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci-Lucas numbers and polynomials. In addition we derive recurrence relations, some properties and generating functions of these numbers and polynomials. Also, we find the generating function of incomplete Tribonacci polynomials which is given as the open problem in [12].

math.NT↗