The complex-type Fibonacci p-Sequences

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Atıf İçin Kopyala

DEVECİ Ö., Shannon A. G., KARADUMAN E.

ANNALS OF THE UNIVERSITY OF CRAIOVA, MATHEMATICS AND COMPUTER SCIENCE SERIES, cilt.49, ss.260-269, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 49
• Basım Tarihi: 2022
• Doi Numarası: 10.52846/ami.v49i2.1534
• Dergi Adı: ANNALS OF THE UNIVERSITY OF CRAIOVA, MATHEMATICS AND COMPUTER SCIENCE SERIES
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Sayfa Sayıları: ss.260-269
• Anahtar Kelimeler: The complex-type Fibonacci p-sequence, matrix, representation, permanent, determinant, NUMBERS
• Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we define a new sequence which is called the complex-type Fibonacci p-sequence and we obtain the generating matrix of this complex-type Fibonacci p-sequence. We also derive the determinantal and the permanental representations. Then, using the roots of the characteristic polynomial of the complex-type Fibonacci p-sequence, we produce the Binet formula for this defined sequence. In addition, we give the combinatorial representations, the generating function, the exponential representation and the sums of the complex-type Fibonacci p-numbers.