Matrix representation of the q-Jacobsthal numbers
In this paper, we consider a q-Jacobsthal sequence {Jq¡n},with initial conditions Jq0 = 0 and Jq! = l.Then give a generating matrix for the terms of sequence {Jq־fe n| for a positive integer k.With the aid of this matrix, we derive some new identities for the sequence
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Universidad Católica del Norte, Departamento de Matemáticas
2012
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oai:scielo:S0716-091720120004000032012-12-18Matrix representation of the q-Jacobsthal numbersCerda-Morales,Gamaliel q-Jacobsthal numbers q-Jacobsthal-Lucas numbers matrix methods In this paper, we consider a q-Jacobsthal sequence {Jq¡n},with initial conditions Jq0 = 0 and Jq! = l.Then give a generating matrix for the terms of sequence {Jq־fe n| for a positive integer k.With the aid of this matrix, we derive some new identities for the sequenceinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.4 20122012-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400003en10.4067/S0716-09172012000400003 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
q-Jacobsthal numbers q-Jacobsthal-Lucas numbers matrix methods |
| spellingShingle |
q-Jacobsthal numbers q-Jacobsthal-Lucas numbers matrix methods Cerda-Morales,Gamaliel Matrix representation of the q-Jacobsthal numbers |
| description |
In this paper, we consider a q-Jacobsthal sequence {Jq¡n},with initial conditions Jq0 = 0 and Jq! = l.Then give a generating matrix for the terms of sequence {Jq־fe n| for a positive integer k.With the aid of this matrix, we derive some new identities for the sequence |
| author |
Cerda-Morales,Gamaliel |
| author_facet |
Cerda-Morales,Gamaliel |
| author_sort |
Cerda-Morales,Gamaliel |
| title |
Matrix representation of the q-Jacobsthal numbers |
| title_short |
Matrix representation of the q-Jacobsthal numbers |
| title_full |
Matrix representation of the q-Jacobsthal numbers |
| title_fullStr |
Matrix representation of the q-Jacobsthal numbers |
| title_full_unstemmed |
Matrix representation of the q-Jacobsthal numbers |
| title_sort |
matrix representation of the q-jacobsthal numbers |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2012 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000400003 |
| work_keys_str_mv |
AT cerdamoralesgamaliel matrixrepresentationoftheqjacobsthalnumbers |
| _version_ |
1718439786046291968 |