An extended framework for bihyperbolic generalized Tribonacci numbers
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The aim of this article is to identify and analyze a new type special number system which is called bihyperbolic generalized Tribonacci numbers (BGTN for short). For this purpose, we give both classical and several new properties such as; recurrence relation, Binet formula, generating function, exponential generating function, summation formulae, matrix formula, and special determinant equations of BGTN . Also, the system of BGTN is quite a big family and includes several type special cases with respect to initial values and $r,~ s, ~t$ values, we give the subfamilies and special cases of it. In addition to these, we construct some numerical algorithms including recurrence relation and special two types determinant equations related to calculating the terms of this new type special number system. Then, we examine several properties by taking two special cases and including some illustrative numerical examples.
Açıklama
Anahtar Kelimeler
Generalized Tribonacci numbers|bihyperbolic numbers|bihyperbolic generalized Tribonacci numbers|special sequences
Kaynak
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
73
Sayı
3
