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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… Click to show full abstract
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.
Journal Title: Filomat
Year Published: 2019
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