On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$

Burak Oğul; Dağistan Şimşek

doi:10.33434/cams.814296

EN

On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$

Abstract

In this paper, we are going to analyze the following difference equation $$x_{n+1}=\frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}} \quad n=0,1,2,...$$ where $x_{-29}, x_{-28}, x_{-27}, ..., x_{-2}, x_{-1}, x_{0} \in \left(0,\infty\right)$.

Keywords

difference equation, recursive sequence, period 30 solutions

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Burak Oğul ^*
Türkiye

Dağistan Şimşek
0000-0003-3003-807X
Türkiye

Publication Date

March 29, 2021

Submission Date

October 21, 2020

Acceptance Date

March 27, 2021

Published in Issue

Year 2021 Volume: 4 Number: 1

DOI

https://doi.org/10.33434/cams.814296

IZ

https://izlik.org/JA34UH53BL

APA

Oğul, B., & Şimşek, D. (2021). On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$. Communications in Advanced Mathematical Sciences, 4(1), 46-54. https://doi.org/10.33434/cams.814296

AMA

1.Oğul B, Şimşek D. On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$. Communications in Advanced Mathematical Sciences. 2021;4(1):46-54. doi:10.33434/cams.814296

Chicago

Oğul, Burak, and Dağistan Şimşek. 2021. “On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$”. Communications in Advanced Mathematical Sciences 4 (1): 46-54. https://doi.org/10.33434/cams.814296.

EndNote

Oğul B, Şimşek D (March 1, 2021) On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$. Communications in Advanced Mathematical Sciences 4 1 46–54.

IEEE

[1]B. Oğul and D. Şimşek, “On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$”, Communications in Advanced Mathematical Sciences, vol. 4, no. 1, pp. 46–54, Mar. 2021, doi: 10.33434/cams.814296.

ISNAD

Oğul, Burak - Şimşek, Dağistan. “On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$”. Communications in Advanced Mathematical Sciences 4/1 (March 1, 2021): 46-54. https://doi.org/10.33434/cams.814296.

JAMA

1.Oğul B, Şimşek D. On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$. Communications in Advanced Mathematical Sciences. 2021;4:46–54.

MLA

Oğul, Burak, and Dağistan Şimşek. “On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$”. Communications in Advanced Mathematical Sciences, vol. 4, no. 1, Mar. 2021, pp. 46-54, doi:10.33434/cams.814296.

Vancouver

1.Burak Oğul, Dağistan Şimşek. On the Recursive Sequence $x_{n+1}= \frac{x_{n-29}}{1+x_{n-4}x_{n-9}x_{n-14}x_{n-19}x_{n-24}}$. Communications in Advanced Mathematical Sciences. 2021 Mar. 1;4(1):46-54. doi:10.33434/cams.814296

Cited By

Dynamical behavior of rational difference equation $$x_{n+1}=\frac{x_{n-17}}{\pm 1\pm x_{n-2}x_{n-5}x_{n-8}x_{n-11}x_{n-14}x_{n-17}}$$

Boletín de la Sociedad Matemática Mexicana

https://doi.org/10.1007/s40590-021-00357-9

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