• Corpus ID: 119697106

Some properties of generalized $k$-Pell sequences

@article{Soria2015SomePO,
  title={Some properties of generalized \$k\$-Pell sequences},
  author={Elijah Soria},
  journal={arXiv: Number Theory},
  year={2015}
}
  • E. Soria
  • Published 10 August 2015
  • Mathematics
  • arXiv: Number Theory
The purpose of this paper is twofold; (1) to develop several identities for the Generalized $k$-Pell sequence (including those of Binet, Catalan, Cassini, and d'Ocagne), and (2) to study applications of tridiagonal generating matrices for the $k$-Pell and Generalized $k$-Pell sequences. 

References

SHOWING 1-9 OF 9 REFERENCES

On generating matrices of the k-Pell, k-Pell-Lucas and modified k-Pell sequences

In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Pell, k-Pell-Lucas and Modified k-Pell numbers. Mathematics Subject Classification: 11B37,

On some identities and generating functions for k- Pell numbers

We obtain the Binet’s formula for k-Pell numbers and as a consequence we get some properties for k-Pell numbers. Also we give the generating function for k-Pell sequences and another expression for

On Some Identities and Generating Functions for k-Pell-Lucas Sequence

We obtain the Binet’s formula for k-Pell-Lucas numbers and as a consequence we obtain some properties for k-Pell-Lucas numbers. Also we give the generating function for the k-Pell-Lucas sequences and

Some basic properties and a two-by-two matrix involving the k-Pell numbers

In this paper we consider the k-Pell numbers sequence and present some properties involving the k-Pell numbers. The theoretical basis of using generating matrices for deriving the explicit formula

On the generating matrices of the k-Fibonacci numbers, Proyecciones

  • 2013

On the generating matrices of the k-Fibonacci numbers

  • Proyecciones
  • 2013

The eigenvalues of tridiagonal matrices, course notes for TMA 4205 at Norwegian University of Science and Technology, Department of Mathematical Sciences

  • 2009

Saint Mary's College of California, 1928 Saint Mary's Rd