Mustafa Asci and Esref Gurel

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 19, 2013, Number 1, Pages 25—36

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## Details

### Authors and affiliations

Mustafa Asci

*Department of Mathematics, Science and Arts Faculty
Pamukkale University, Kınıklı Denizli, Turkey
* Corresponding author*

Esref Gurel

*Department of Mathematics, Science and Arts Faculty
Pamukkale University, Kınıklı Denizli, Turkey*

### Abstract

In this study we define and study the Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials. We give generating function, Binet formula, explicit formula, *Q* matrix, determinantal representations and partial derivation of these polynomials. By defining these Gaussian polynomials for special cases *GJ _{n}*(1) is the Gaussian Jacobsthal numbers,

*Gj*(1) is the Gaussian Jacobsthal Lucas numbers defined in [2].

_{n}### Keywords

- Jacobsthal polynomials
- Jacobsthal Lucas polynomials
- Gaussian Fibonacci numbers

### AMS Classification

- 11A07
- 11A41
- 11A51
- 11B50
- 11B65
- 11B75

### References

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## Cite this paper

APAAsci, M., & Gurel E. (2013). Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials. Notes on Number Theory and Discrete Mathematics, 19(1), 25-36.

ChicagoAsci, Mustafa, and Esref Gurel. “Gaussian Jacobsthal and Gaussian Jacobsthal Lucas Polynomialss.” Notes on Number Theory and Discrete Mathematics 19, no. 1 (2013): 25-36.

MLAAsci, Mustafa, and Esref Gurel. “Gaussian Jacobsthal and Gaussian Jacobsthal Lucas Polynomials.” Notes on Number Theory and Discrete Mathematics 19.1 (2013): 25-36. Print.