Fibonacci and Lucas Numbers for Real Indices and Some Applications
R. WituĊ‚a
Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland
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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.
DOI: 10.12693/APhysPolA.120.755
PACS numbers: 02.10.Yn, 02.10.De, 02.50.Cw