Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Emrah Polatlı

doi:10.32323/ujma.1339603

EN

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Abstract

In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present two different versions of Cassini identity of these numbers.

Keywords

Binet formula, Fibonacci hybrid numbers, Generating function, Lucas hybrid numbers, Matrix method

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Emrah Polatlı ^*
0000-0002-2349-8978
Türkiye

Early Pub Date

September 18, 2023

Publication Date

September 30, 2023

Submission Date

August 8, 2023

Acceptance Date

September 17, 2023

Published in Issue

Year 2023 Volume: 6 Number: 3

DOI

https://doi.org/10.32323/ujma.1339603

IZ

https://izlik.org/JA59CH48KB

APA

Polatlı, E. (2023). Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Universal Journal of Mathematics and Applications, 6(3), 106-113. https://doi.org/10.32323/ujma.1339603

AMA

1.Polatlı E. Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Univ. J. Math. Appl. 2023;6(3):106-113. doi:10.32323/ujma.1339603

Chicago

Polatlı, Emrah. 2023. “Hybrid Numbers With Fibonacci and Lucas Hybrid Number Coefficients”. Universal Journal of Mathematics and Applications 6 (3): 106-13. https://doi.org/10.32323/ujma.1339603.

EndNote

Polatlı E (September 1, 2023) Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Universal Journal of Mathematics and Applications 6 3 106–113.

IEEE

[1]E. Polatlı, “Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients”, Univ. J. Math. Appl., vol. 6, no. 3, pp. 106–113, Sept. 2023, doi: 10.32323/ujma.1339603.

ISNAD

Polatlı, Emrah. “Hybrid Numbers With Fibonacci and Lucas Hybrid Number Coefficients”. Universal Journal of Mathematics and Applications 6/3 (September 1, 2023): 106-113. https://doi.org/10.32323/ujma.1339603.

JAMA

1.Polatlı E. Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Univ. J. Math. Appl. 2023;6:106–113.

MLA

Polatlı, Emrah. “Hybrid Numbers With Fibonacci and Lucas Hybrid Number Coefficients”. Universal Journal of Mathematics and Applications, vol. 6, no. 3, Sept. 2023, pp. 106-13, doi:10.32323/ujma.1339603.

Vancouver

1.Emrah Polatlı. Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Univ. J. Math. Appl. 2023 Sep. 1;6(3):106-13. doi:10.32323/ujma.1339603