Location of zeros of polynomials

• Autorzy: Zireh A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we obtain a result concerning the location of zeros of a polynomial p(z)= αo+a1z+···+αnzn, where αi are complex coefficients and z is a complex variable. We obtain a ring shaped region containing all the zeros of a polynomial involving binomial coefficients and t,z-Fibonacci numbers. This result generalizes some well-known inequalities.

Słowa kluczowe

EN

polynomial; Fibonacci number; Pell number; location of zeros; annular domain; bound

PL

wielomian; liczba Fibonacciego; liczba Pella; lokalizacja zer; domena pierścieniowa; granica

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2012
• Tom: Vol. 18, nr 1
• Strony: 159--166
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Zireh A.

• Department of Mathematics, Shahrood University of Technology, Shahrood, Iran,

Bibliografia

• [1] M. Bidkham and E. Shashahani, An annulus for the zeros of polynomials, Appl. Math. Lett. 24 (2011), 122-125.
• [2] J. L. Diaz-Barrero, An annulus for the zeros of polynomials, J. Math. Anal. Appl. 273 (2002), 349-352.
• [3] J. L. Diaz-Barrero and J. J. Egozcue, Bounds for moduli of zeros, Appl. Math. Lett. 17 (2004), 993-996.
• [4] M. Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, American Mathematical Society, Providence, 1966.