The m-extension of Fibonacci and Lucas p-difference sequences

Autor:	Cahit Köme, Yasin Yazlik
Rok vydání:	2019
Předmět:	Discrete mathematics Fibonacci number General Mathematics Extension (predicate logic) Mathematics
Zdroj:	Filomat. 33:6187-6194
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1919187k
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b20b7dd41e8b5130c1da81052376b496 https://doi.org/10.2298/fil1919187k Zobrazit plný text záznamu