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On the zeros of polynomial with real coecients - Research Square omplex plane 1 Introduction and Main Results The classical Enestr ̈om-Kakeya Theorem gives us information about the position of the zeros of a polynomial whose coefficients are no negative and satisfy a monotonicity condition It was independently proved by Gustav
(PDF) On the zeros of polynomial with real coefficients Abstract Lot of research work has been done regarding the classical theorem known as Eneström-Kakeya theorem concerning the regions containing zeros of a polynomial
On the Zeros of a Polynomial - ijsrp. org Abstract: In this paper we consider the problem of finding the number of zeros of a polynomial in a prescribed region by subjecting the real and imaginary parts of its coefficients to certain restrictions
On the number of zeroes of a polynomial with restricted real Co-efficient In this paper we will extend Enestrom – Kakeya theorem by relaxing the restrictions on the coefficients of a polynomial in several ways and thereby present a result on zero free region of a polynomial to certain condition
On the Number of Zeros of A Polynomial - cna-journal. com In this paper, we consider the problem of finding the maximum number of zeros of a polynomial in a prescribed region Our theorems include several known results in this direction as special cases
ON THE ZEROS OF POLYNOMIALS WITH RESTRICTED COEFFICIENTS OEFFICIENTS B A Zargar, M H Gulzar, M Ali Abstract Let P(z) = Pn ajzj be a po ynomial of degree n such that j=0 an an 1 : : : a1 a0 0 Then according to Ene tröm-Kakeya theorem all the zeros of P(z) lie in jzj 1 This result ha been generalized in various ways (see [1, 3, 4, 6, 7]) In this paper we shall prove some generalizations of
An improved lower bound for a problem of Littlewood on the zeros of . . . T Erdélyi, The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set, Acta Arithmetica 176 (2016), 177–200 MathSciNet Google Scholar T Erdélyi, Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set, Acta Arithmetica 192 (2020), 189–210
(PDF) On the zeros of a polynomial - Academia. edu In this paper we consider the problem of finding the number of zeros of a polynomial in a prescribed region by subjecting the real and imaginary parts of its coefficients to certain restrictions