Geodesic
The m−extension of Fibonacci and Lucas p−difference sequences
Filomat, Tome 33 (2019) no. 19, p. 6187

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DOI

In this paper we define the m−extension of Fibonacci and Lucas p−difference sequences by using the m−extension of Fibonacci and Lucas p−numbers. We investigate some properties of our new sequences and introduce some relations between the m−extension of Fibonacci and Lucas p−difference sequences and the m−extension of Fibonacci and Lucas p−numbers. Moreover, we present the sums and generating function of the m−extension of Fibonacci and Lucas p−difference sequences. Finally, we study the m−extension of Fibonacci p−difference Newton polynomial interpolation
DOI : 10.2298/FIL1919187K
Classification : 11B39, 65D05
Keywords: The m−extension of Fibonacci p−difference sequence, The m−extension of Lucas p−difference sequence, Generating function, Newton interpolation 
Cahit Köme; Yasin Yazlik. The m−extension of Fibonacci and Lucas p−difference sequences. Filomat, Tome 33 (2019) no. 19, p. 6187 . doi: 10.2298/FIL1919187K
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     author = {Cahit K\"ome and Yasin Yazlik},
     title = {The m\ensuremath{-}extension of {Fibonacci} and {Lucas} p\ensuremath{-}difference sequences},
     journal = {Filomat},
     pages = {6187 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919187K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919187K/}
}
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