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Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers
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abstract
Results of this paper concern $n$-determinants which we defined in the paper \cite{jan}. In the paper \cite{jabo}, $2$-determinants are considered. In this paper, we extend results from \cite{jabo} on $n$-determinants by proving that Cassini, d'Ocagne, Catalan and Vajda identities may be extended to hold for $n$-step Fibonacci numbers.
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Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair
For s_λ(μ_t, z, z^{-1}), the evaluation is zero or a signed product of three hyperbolic sine factors read from the t-residue profile, for every t and every shape.
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