Geodesic
Some properties of the generalized Fibonacci and Lucas numbers
Filomat, Tome 34 (2020) no. 8, p. 2655

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DOI

In this paper we consider the generalized Fibonacci numbers F n,m and the generalized Lucas numbers L n,m. Also, we introduce new sequences of numbers A n,m , B n,m , C n,m and D n,m. Further, we find the generating functions and some recurrence relations for these sequences of numbers.
DOI : 10.2298/FIL2008655D
Classification : 11B83, 11B37, 11B39
Keywords: Recurrence relation, Convolution, Generating function, Explicit representation, Summation formula 
Gospava B Djordjević; Snežana S Djordjević. Some properties of the generalized Fibonacci and Lucas numbers. Filomat, Tome 34 (2020) no. 8, p. 2655 . doi: 10.2298/FIL2008655D
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     author = {Gospava B Djordjevi\'c and Sne\v{z}ana S Djordjevi\'c},
     title = {Some properties of the generalized {Fibonacci} and {Lucas} numbers},
     journal = {Filomat},
     pages = {2655 },
     year = {2020},
     volume = {34},
     number = {8},
     doi = {10.2298/FIL2008655D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008655D/}
}
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