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4.340  Articles
1 of 434 pages  |  10  records  |  more records»
In the note, the authors express the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Consequently, they also express the Fibonacci numbers and polynomials in terms of tridiagonal determinants.

In the note, the authors express the generalized Fibonacci polynomials in terms of a tridiagonal determinant. Consequently, they also express the Fibonacci numbers and polynomials in terms of tridiagonal determinants.

Context. The problem to form generalized primitive matrixes on the Galois and Fibonacci any order over the field characteristics2 for the construction by the generators gamma functions for cryptographically stable algorithms of inline data encryption, fre... see more

Context. The problem to form generalized primitive matrixes on the Galois and Fibonacci any order over the field characteristics2 for the construction by the generators gamma functions for cryptographically stable algorithms of inline data encryption, fre... see more

We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a sp... see more

A research cut will be presented in the Academic Master of the Programa de Pós-Graduação em Ensino de Ciências e Matemática (PGECM) of the Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE). This research used Didactic Engineering with a ... see more

A research cut will be presented in the Academic Master of the Programa de Pós-Graduação em Ensino de Ciências e Matemática (PGECM) of the Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE). This research used Didactic Engineering with a ... see more

In this paper generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials are introduced. The Binet form and some of their recursive features are given. Various families of multilinear and multilateral generating functions for these polynomials ar... see more

We continue our study on relationships between Fibonacci (Lucas) numbers and Bernoulli numbers and polynomials. The derivations of our results are based on functional equations for the respective generating functions, which in our case are combinations of... see more

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