In this work, the exact operational matrices for shifted Pell polynomials are achievable; so
one can integrate and product the vector of basic functions s. The general form of the matrix …

We introduce a generalization of Leonardo p-numbers, which extends the definition of
Leonardo p-numbers given by Tan and Leung, and investigate some of their basic …

This work starts by reviewing the Pell polynomials, its definition and some basic properties.
Afterward, some new properties of such polynomials are investigated. A novel …

In this paper, we introduce a new generalization of Leonardo numbers, which are socalled
Leonardo p-numbers. We investigate some basic properties of these numbers. We also …

In this article, we find elements of the Lucas polynomials by using two matrices. We extend
the study to the n-step Lucas polynomials. Then the Lucas polynomials and their …

We define the incomplete bivariate Fibonacci and Lucas p‐polynomials. In the case x= 1, y=
1, we obtain the incomplete Fibonacci and Lucas p‐numbers. If x= 2, y= 1, we have the …

In this study, we define 3-Fibonacci Polynomials by using terms of a new family of Fibonacci
numbers was given by Mikkawy and Sogabe (2010). We give some important properties of …

In this paper, we define the Padovan p-numbers and then we obtain their miscellaneous
properties such as the generating matrix, the Binet formula, the generating function, the …

This paper develops properties of recurrence sequences defined from circulant matrices
obtained from the characteristic polynomial of the Pell–Padovan sequence. The study of …

In this paper we study some properties of the generalized Fibonacci numbers and the
generalized Lucas numbers. These numbers are equal to the total numbers of k …