Newtonian Olmayan Padovan ve Newtonian Olmayan Perrin Sayıları Hakkında

Year 2024, Volume: 9 Issue: 2, 502 - 515, 29.12.2024

Orhan Dişkaya

https://doi.org/10.33484/sinopfbd.1444748

Abstract

Bu çalışmada Newtonian olmayan Padovan ve Newtonian olmayan Perrin sayıları olarak adlandırdığımız Padovan ve Perrin sayılarının yeni bir versiyonunu tanıtıyoruz. Ayrıca bunların bazı özelliklerini de inceliyoruz. Ek olarak, Binet benzeri formüller, üreteç fonksiyonları, kısmi toplam formülleri ve binom toplam formülleri de dahil olmak üzere bu yeni türleri içeren çeşitli özdeşlikler ve formüller sağlıyoruz.

Keywords

Newtonyen olmayan hesap, Padovan sayıları, Binet formülü, üreteç fonksiyonları, binom toplamı

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

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

Non-Newtonian calculus, Padovan numbers, Binet formula, generating functions, binomial sum

Ethical Statement

The work does not require ethics committee approval and any private permission.

Supporting Institution

The author has no received any financial support for the research, authorship, or publication of this study.

Thanks

The author would like to thank the editors and reviewers for their careful reading and suggestions.

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