Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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GAUSSIAN PENTANACCI NUMBERS AND POLYNOMIALS

Authors

  • B. Sivakumar

Keywords:

Pentanacci numbers, Gaussian Pentanacci numbers.

DOI:

https://doi.org/10.17654/0974165822002

Abstract

In this paper, we define the Gaussian Pentanacci sequence. We give the generating function, Binet-like formula, sum formulas and matrix representation of Pentanacci numbers. We also define Pentanacci polynomials and Gaussian Pentanacci polynomials.

Received: July 9, 2021
Revised: August 13, 2021
Accepted: October 22, 2021

References

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E. Ozkan and I. Altun, Generalized Lucas polynomials and relationship between the Fibonacci polynomials and Lucas polynomials, Comm. Algebra 47(10) (2019), 4020-4030.

E. Ozkan and M. Tastan, On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications, Comm. Algebra 48(3) (2020), 952-960.

A. Mustafa and A. Suleyman, k-order Gaussian Fibonacci Polynomials and applications to the coding theory, J. Discrete Math. Sci. Cryptogr. (2020), 1-18. DOI: 10.1080/09720529.2020.1816917.

D. Tasci and H. Acar, Gaussian Tetranacci numbers, Communications in Mathematics and Applications 8(3) (2017), 379-386.

Y. Soykan, Linear summing formula of generalized Pentanacci and Gaussian Pentanacci numbers, Journal of Advances in Mathematics and Computer Science 33(3) (2019), 1-14.

Y. Soykan, On generalized Pentanacci and generalized Gaussian Pentanacci numbers, Asian Research Journal of Mathematics 16(9) (2020), 102-121.

A. P. Stakhov, Fibonacci matrices a generalization of the Cassini formula and a new coding theory, Chaos Solitons Fractals 30(1) (2006), 56-66.

Published

2021-11-23

Issue

Section

Articles

How to Cite

GAUSSIAN PENTANACCI NUMBERS AND POLYNOMIALS. (2021). Advances and Applications in Discrete Mathematics, 29(1), 9-23. https://doi.org/10.17654/0974165822002

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