The complex-type Fibonacci p-Sequences

Universitatea din Craiova. Analele. Seria: Matematica, Informatica

article

Ömür Deveci¹  Anthony G. Shannon²  Erdal Karaduman³ 

[1] Kafkas University;University of New South Wales;Atatürk University

关键词: The complex-type Fibonacci p-sequence;    matrix;    representation;    permanent;    determinant;   

DOI  :  10.52846/ami.v49i2.1534

学科分类：社会科学、人文和艺术（综合）

来源: Universitatea din Craiova / University of Craiova

【 摘 要 】

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.

【 授权许可】

Unknown