Generalized Gaussian Fibonacci Numbers and its Determinantal Identities
DOI:
https://doi.org/10.14421/fourier.2024.132.111-117Keywords:
Gaussian Fibonacci number, Gaussian Lucas number, Gaussian Pell number, Gaussian Pell-Lucas number, Gaussian Jacobsthal number, Gaussian jacobsthal-Lucas number, DeterminantAbstract
In this paper, we present the determinantal identities of generalized Gaussian Fibonacci numbers. The generalized Gaussian Fibonacci sequence is defined by the recurrence relation. This was introduced by S. Pethe and A. F. Horadam. Also, we present its determinantal identities with classical numbers like gaussian Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, jacobsthal-Lucas, Bronze, Nickel and Mersenne numbers.
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Copyright (c) 2024 Yashwant Kumar Panwar, V. K. Gupta, Minal Gwala
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