Fibonacci and Lucas Numbers for Real Indices and Some Applications

• Authors: R. Wituła
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

02.10.Yn; 02.10.De; 02.50.Cw

Discipline

• 02.10.Yn: Matrix theory
• 02.10.De: Algebraic structures and number theory
• 02.50.Cw: Probability theory

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 4
• Pages: 755-758

Dates

published

2011-10

Contributors

author

R. Wituła

• Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.120.755