In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B_n (x) Morgan-Voyce polynomial equal to the number of k-matchings (m(G,k)) of a path graph which has N=2n+1 points. Furtermore, two relations are obtained between regularly zig-zag nonbranched catacondensed benzenid chains and Morgan-Voyce polynomials and between regularly zig-zag ...

The Hosoya polynomial triangle is a triangular arrangement of polynomials where each entry is a product of two polynomials. The geometry of this triangle is a good 1 tool to study the algebraic properties of polynomial products. In particular, we find closed formulas for the alternating sum of products of polynomials such as Fibonacci polynomials, Chebyshev polynomials, Morgan-Voyce polynomials...

We say that a monic polynomial with integer coefficients is polygomial if its each zero obtained by squaring the edge or diagonal of regular n-gon unit circumradius. find connections certain polygomials Morgan-Voyce polynomials and further Chebyshev second kind.

111 recent years, a number of papers appeared on the subject of generalization of the MorganVoyce (Mr) polynomials (see5 e.g., Andre-Jeannin [l]-[3] and Horadam [4]-[7]). The richness of results in these works prompted our Investigation on this subject. We further generalized the Mpolynomials in a particular way and obtained some new relations by means of the line-sequential formalism developed...

An effective matrix method to solve the ordinary linear integro-differential equations with variable coefficients and delays under initial conditions is offered in this article. Our consists of determining approximate solution form Morgan-Voyce Taylor polynomials their derivatives collocation points. Then, we reconstruct problem as a system system. Also, some examples are given show validity re...

We study several classes of polynomials, which are related to the Chebyshev, Morgan-Voyce, Horadam and Jacobsthal polynomials. Thus, we unify some of well-known results.

There have been many reports on the properties of various polynomial sequences and their generalizations (see, e.g., [1], [3], [4], [5], [6], and [9] and the references therein). In this paper we shall try to treat some polynomial sequences by virtue of the line-sequential formalism developed earlier. To this end? we choose [9] as the guide of our endeavor and obtain some results of a different...

In two recent articles [2] and [3], Ferri et al. introduced and studied the properties of two numerical triangles, which they called DFF and DFZ triangles. However, in a subsequent article, Andre-Jeannin [1] showed that the polynomials generated by the rows of these triangles are indeed the Morgan-Voyce polynomials Bn{x) and bn(x), whose properties are well known [10] and [11]; in fact, the pol...