On the Non-Newtonian Padovan and Non-Newtonian Perrin Numbers

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Sinop Üniversitesi Fen Bilimleri Dergisi
Volume:9 Issue:2
On the Non-Newtonian Padovan and Non-Newtonian Perrin Numbers

On the Non-Newtonian Padovan and Non-Newtonian Perrin Numbers

Authors : Orhan Dişkaya

Pages : 502-515

Doi:10.33484/sinopfbd.1444748

View : 85 | Download : 73

Publication Date : 2024-12-29

Article Type : Research Paper

Abstract :In this work, we introduce a novel version of Padovan and Perrin numbers which we refer to as non-Newtonian Padovan and non-Newtonian Perrin numbers. Furthermore, we examine about a number of their properties. Additionally, we provide a variety of identities and formulas involving these new kinds, including the Binet-like formulas, the generating functions, the partial sum formulas, and the binomial sum formulas.
Keywords : Newtonyen olmayan hesap, Padovan sayıları, Binet formülü, üreteç fonksiyonları, binom toplamı

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