Title variants
Languages of publication
Abstracts
In this paper the notion of the Fibonacci and Lucas numbers is extended onto real indices. Next, these new numbers are used for calculating real powers of certain matrices. The presented method to the extension of elements of linear recurrence sequence to real indices ought to find practical application in wide understanding metrology and medical diagnostics.
Discipline
Journal
Year
Volume
Issue
Pages
755-758
Physical description
Dates
published
2011-10
Contributors
author
- Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
References
- 1. R. Wituła, D. Słota, Appl. Math. Comput. 202, 348 (2008)
- 2. S. Rabinowitz, in: Applications of Fibonacci Numbers, Vol. 6, Eds. G.E. Bergum, A.N. Phillipou, Kluwer 1996, p. 389
- 3. R. Grzymkowski, R. Wituła, Calculus Methods in Algebra, Part One, WPKJS, Gliwice 2000
- 4. M. Catalani, 'Generalized Bivariate Fibonacci Polynomials', arXiv:math 0211366v2, 1-11 (2004)
- 5. M. Catalani, 'Some formulae for bivariate Fibonacci and Lucas polynomials', arXiv:math 0406323v1, 1-9 (2004)
- 6. X. Fu, X. Zhou, Appl. Math. Comput. 200, 96 (2008)
- 7. D. Tasci, E. Kilic, Appl. Math. Comput. 155, 637 (2004)
- 8. S. Falcon, A. Plaza, Chaos Solitons Fractals 38, 409 (2008)
- 9. S. Falcon, A. Plaza, Chaos Solitons Fractals 38, 993 (2008)
- 10. M.E.H. Ismail, Fibonacci Quart. 46/47, 167 (2008/09)
- 11. S.P. Pethe, R.M. Fernandes, Ulam Quart. 3, 15 (1995)
- 12. R. Andre-Jeannin, Fibonacci Quart. 29, 13 (1991)
- 13. T. Pustelny, C. Tyszkiewicz, K. Barczak, Opt. Appl. 33, 469 (2003)
- 14. K. Barczak, T. Pustelny, D. Dorosz, J. Dorosz, Europ. Phys. J.-Special Topics 154, 11 (2008)
- 15. M. Gawlikowski, T. Pustelny, B. Przywara-Chowaniec, J. Nowak-Gawlikowska, Acta Phys. Pol. A 118, 1183 (2010)
- 16. ] P. Struk, T. Pustelny, K. Gut, K. Gołaszewska, E. Kamiń ska, M. Ekielski, I. Pasternak, E. Łusakowska, A. Piotrowska, Acta Phys. Pol. A 116, 414 (2009)
- 17. R. Wituła, D. Słota, Lect. Notes Comput. Sci. 5544, 580 (2009)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv120n441kz