"Fibonacci polynomial; eigenvalue; , five-diagonal matrix; determinan; generalized Fibonacci numbers"@en . "9"^^ . "RIV/00216275:25410/13:39896044!RIV14-MSM-25410___" . . . "The determinant of a special five-diagonal matrix and the Fibonacci polynomials" . . . . "Many mathematicins investigated in papers various types of integer matrices the entries of which satisfy a second order recurrence. Some of the authors used methods leading to obtain real or complex factorizations of the Fibonacci or the Lucas numbers. Civciv (2008) computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. His result is given more generally and completely in this paper. It is showed that the determinant of a matrix, the entries of which are the Gibonacci numbers, is related to the values of the Fibonacci polynomial. Calculations are done by using the eigenvalues of the given matrix."@en . . "Many mathematicins investigated in papers various types of integer matrices the entries of which satisfy a second order recurrence. Some of the authors used methods leading to obtain real or complex factorizations of the Fibonacci or the Lucas numbers. Civciv (2008) computed the determinant of a five-diagonal matrix with the Fibonacci numbers as its entries. His result is given more generally and completely in this paper. It is showed that the determinant of a matrix, the entries of which are the Gibonacci numbers, is related to the values of the Fibonacci polynomial. Calculations are done by using the eigenvalues of the given matrix." . . . . "I" . "The determinant of a special five-diagonal matrix and the Fibonacci polynomials"@en . "84" . "1311-8080" . . "BG - Bulharsk\u00E1 republika" . "[D839978AB849]" . "1"^^ . "International Journal of Pure and Applied Mathematics" . . "RIV/00216275:25410/13:39896044" . . "The determinant of a special five-diagonal matrix and the Fibonacci polynomials"@en . . "68810" . . . "The determinant of a special five-diagonal matrix and the Fibonacci polynomials" . . "1"^^ . "Seibert, Jaroslav" . "2" . "25410" . . .