Gaussian Jacobsthal-Padovan numbers have been the central focus of this paper and firstly this number sequence has defined. Later, we have given the proof of the generating function of the Gaussian Jacobsthal-Padovan sequence. After that by using generating function, we have given the proof of the Binet formula for this number sequence. Additionally, we have investigated some properties such as Simson identity, summation formulas of this sequence. Finally, we have obtained some matrices whose elements are Gaussian Jacobsthal-Padovan numbers.
Jacobsthal numbers Jacobsthal-Padovan numbers Gaussian Jacobsthal-Padovan numbers Generating function Binet formula
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 29 Haziran 2022 |
Gönderilme Tarihi | 18 Kasım 2021 |
Kabul Tarihi | 13 Nisan 2022 |
Yayımlandığı Sayı | Yıl 2022 |