BINET-CURVES FOR UNUSUAL GENERALIZED FIBONACCI SEQUENCES

Authors

  • Khushbu J. Das Shree Swami Atmanad Saraswati, Institute of Technology, H and S.S Department, Surat, Gujarat, India
  • Devbhadra V. Shah Veer Narmad South Gujarat University, Department of Mathematics, Surat, Gujarat, India

DOI:

https://doi.org/10.5644/SJM.22.01.01

Keywords:

Curve tracing, Fibonacci numbers, Lucas numbers, Pell numbers, Half-Companion Pell numbers

Abstract

In this article, we trace Binet-curves for some unusual Generalized Fibonacci sequences. We extend their Binet-type formula to arbitrary real variables in the complex plane and use them to analyze and calculate the area under each of these curves.

 

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References

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T. Koshy, Pell and Pell–Lucas Numbers with Applications, Springer-Verlag, New York, 2014.

M. Özvatan and O. K. Pashaev, Generalized Fibonacci Sequences and Binet-Fibonacci Curves, available at https://www.researchgate.net/publication/318785379.

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Published

27.07.2026

How to Cite

Das, K. J., & Shah, D. V. (2026). BINET-CURVES FOR UNUSUAL GENERALIZED FIBONACCI SEQUENCES. Sarajevo Journal of Mathematics, 22(01), 1–18. https://doi.org/10.5644/SJM.22.01.01

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Articles