The complex-type Fibonacci p-Sequences

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.

Journal

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES

Year

2022

Volume

49

Issue

2

Pages

260-269

ISSN

1223-6934

eISSN

2246-9958

DOI

10.52846/ami.v49i2.1534

WoS UID

WOS:000905707900004