TL;DR
This paper explores determinants related to Fibonomial coefficients, providing generating functions, Vandermonde identities, and continued fractions to deepen understanding of these mathematical constructs.
Contribution
It introduces new determinant expressions and analytical tools for Fibonomial coefficients, expanding their theoretical framework.
Findings
Derived several determinants for Fibonomial coefficients
Established generating functions and Vandermonde identities
Presented continued fractions related to Fibonomial coefficients
Abstract
In this paper, we find several determinants expressing the Fibonomial coefficients. We also give the generating functions, Vandermonde identity, and continued fractions about Fibonomial coefficients.
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