Non-Newtonian Pell and Pell-Lucas numbers
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Dosyalar
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tokat Gaziosmanpaşa Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively. In non-Newtonian calculus, we study some significant identities and formulas for classical Pell and Pell-Lucas numbers. Therefore, we derive some relations with non-Newtonian Pell and Pell-Lucas numbers. Furthermore, we investigate some properties of non-Newtonian Pell and Pell-Lucas numbers, including Catalan-like identities, Cassini-like identities, Binet-like formulas, and generating functions.
Açıklama
Anahtar Kelimeler
Non-Newtonian Calculus, Pell Number, Pell-Lucas Number
Kaynak
Journal of New Results in Science
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
1
