On Generalized Brioschi’s Formula and its Applications
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2023-06-09 15:44
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GOY, Taras. On Generalized Brioschi’s Formula and its Applications. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 70-73. ISBN 978-9975-68-378-4.
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Proceedings IMCS-55 2019
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

On Generalized Brioschi’s Formula and its Applications


Pag. 70-73

Goy Taras
 
Juridical institute of Vasyl Stefanyk Precarpathian National University
 
 
Disponibil în IBN: 1 noiembrie 2019


Rezumat

In this paper, we consider determinants for some families of Hessenberg matrices having various translates of the Fibonacci numbers for the nonzero entries. These determinant formulas may also be rewritten as identities involving sums of products of Fibonacci numbers and multinomial coefficients.

Cuvinte-cheie
Fibonacci numbers, Lucas numbers, Hessenberg matrix, Brioschi’s formula, multinomial coefficient