160
Views
5
CrossRef citations to date
0
Altmetric
Articles

On the characterization of periodic generalized Horadam sequences

&
Pages 1069-1090 | Received 06 Aug 2013, Accepted 27 Jan 2014, Published online: 13 Mar 2014

References

  • O.D.Bagdasar and P.J.Larcombe, On the characterization of periodic complex Horadam sequences, Fibonacci Quart.51(1) (2013), pp. 28–37.
  • O.D.Bagdasar and P.J.Larcombe, On the number of complex Horadam sequences with a fixed period, Fibonacci Quart.51(4) (2013), pp. 339–347.
  • O.D.Bagdasar, P.J.Larcombe, and A.Anjum, Geometric patterns of periodic complex Horadam sequences and applications, Appl. Math. Comput., submitted for publication.
  • S.S.Dragomir, Advances in Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces, Nova Science Publishers, New York, 2007.
  • G.Everest, A.Poorten, I.Shparlinski, and T.Ward, Recurrence Sequences, Mathematical Surveys and Monographs, Vol. 104, American Mathematical Society, Providence, R.I.2003.
  • A.F.Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart.3 (1965), pp. 161–176.
  • N.V. Ivanov, Linear Recurrences, preprint, Available at http://www.mth.msu.edu/-ivanov/Recurrence.pdf2008.
  • P.J.Larcombe, O.D.Bagdasar, and E.J.Fennessey, Horadam sequences: A survey, Bull. Inst. Combin. Appl.67 (2013), pp. 49–72.
  • T.Muir, The Theory of Determinants in the Historical Order of Development, Vol. 1, Dover, New York, 1960.
  • C.J.Noonea, M.Torrilhonb, and A.Mitsosa, Heliostat field optimization: A new computationally efficient model and biomimetic layout, Sol. Energy86(2) (2012), pp. 792–803.
  • F.Panneton, P.L'Ecuyer, and M.Matsumoto, Improved long-period generators based on linear reccurences modulo 2, ACM Trans. Math. Software32 (2006), pp. 1–16.
  • I.Prudyus and M.Sumyk, Multiphase Signals Based on Recurrent Sequences of Maximal Length, Proceedings of the International Conference on Modern Problems of Radio Engineering, Telecommunications and Computer Science2004, pp. 360–362.
  • D.W.Robinson, The rank and period of a linear recurrent sequence over a ring, Fibonacci Quart.14 (1976), pp. 210–214.
  • A.Vince, Period of a linear recurrence, Acta Arith.XXXIX (1981), pp. 303–311.
  • D.A.Wunsch, Complex Variables with Applications, 3rd ed., Pearson, Boston, 2005.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.