Advances and Applications in Discrete Mathematics
Volume 28, Issue 1, Pages 133 - 144
(September 2021) http://dx.doi.org/10.17654/DM028010133 |
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SOME ANALYTICAL AND NUMERICAL RESULTS FOR THE ZEROS OF A CLASS OF FIBONACCI-LIKE POLYNOMIALS
Amal Al-Saket
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Abstract: In this article, we study the zeros of the Fibonacci-type polynomials and The zeros are shown to be expressible in terms of solutions of a certain trigonometric equation. This enables us to establish a relationship between the zeros of such polynomials and the zeros of a certain sparse twinned polynomial. Based on this relationship, we could obtain some information about the zeros of Our findings were numerically evidenced by solving some examples using MATLAB. |
Keywords and phrases: Fibonacci-like polynomials, zeros of polynomials, eigenvalues, tridiagonal matrix, twinned polynomials.
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