Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion

Arzu Özkoç; Eda Gündüz

doi:10.32323/ujma.1207852

EN

Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion

Abstract

The main object of the study is to consider the binomial transform for quadra Fibona-Pell sequence and quadra Fibona-Pell quaternion. In the paper, which consists of two parts in terms of the results found, the first step was taken for the sequence by defining the binomial transform for the quadra Fibona-Pell sequence in the first part and then finding the recurrence relation of this new binomial transform. Then, the Binet formula, generating function and various sum formulas of the sequence were found. In the second part, the binomial transform is applied for the quadra Fibona-Pell quaternion, which was discussed in a thesis before. Similar results in the first section are covered in the quaternion binomial transform.

Keywords

Fibonacci sequence, Pell sequence, Binomial transform

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Arzu Özkoç ^*
Türkiye

Eda Gündüz This is me
0000-0003-1985-6506
Türkiye

Publication Date

December 29, 2022

Submission Date

November 21, 2022

Acceptance Date

December 26, 2022

Published in Issue

Year 2022 Volume: 5 Number: 4

DOI

https://doi.org/10.32323/ujma.1207852

IZ

https://izlik.org/JA33ZM79DW

APA

Özkoç, A., & Gündüz, E. (2022). Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion. Universal Journal of Mathematics and Applications, 5(4), 145-155. https://doi.org/10.32323/ujma.1207852

AMA

1.Özkoç A, Gündüz E. Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion. Univ. J. Math. Appl. 2022;5(4):145-155. doi:10.32323/ujma.1207852

Chicago

Özkoç, Arzu, and Eda Gündüz. 2022. “Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion”. Universal Journal of Mathematics and Applications 5 (4): 145-55. https://doi.org/10.32323/ujma.1207852.

EndNote

Özkoç A, Gündüz E (December 1, 2022) Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion. Universal Journal of Mathematics and Applications 5 4 145–155.

IEEE

[1]A. Özkoç and E. Gündüz, “Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion”, Univ. J. Math. Appl., vol. 5, no. 4, pp. 145–155, Dec. 2022, doi: 10.32323/ujma.1207852.

ISNAD

Özkoç, Arzu - Gündüz, Eda. “Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion”. Universal Journal of Mathematics and Applications 5/4 (December 1, 2022): 145-155. https://doi.org/10.32323/ujma.1207852.

JAMA

1.Özkoç A, Gündüz E. Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion. Univ. J. Math. Appl. 2022;5:145–155.

MLA

Özkoç, Arzu, and Eda Gündüz. “Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion”. Universal Journal of Mathematics and Applications, vol. 5, no. 4, Dec. 2022, pp. 145-5, doi:10.32323/ujma.1207852.

Vancouver

1.Arzu Özkoç, Eda Gündüz. Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion. Univ. J. Math. Appl. 2022 Dec. 1;5(4):145-5. doi:10.32323/ujma.1207852