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On Eneström-Kakeya theorem for a quaternionic polynomial

100%

Mogbademu A. A.

Fasciculi Mathematici

2023

tom nr 66

81--90

Let p(q) = ∑nl=0 ql al be a quaternion polynomial of degree n with quaternion coefficients a and quaternion variable q, where al = αl + iβl + jγl + kδl for 0 ≤ l ≤ n. In this paper, we put some restrictions on the coefficients of p(q) to obtain some new Eneström-Kakeya’s Theorems for a polynomial with quaternion variable.

Location of zeros of Lacunary-type polynomials

75%

Qasim I. , Rasool T. , Liman A.

Journal of Mathematics and Applications

2018

tom Vol. 41

171--180

In this paper, we present some interesting results concerning the location of zeros of Lacunary-type of polynomial in the complex plane. By relaxing the hypothesis and putting less restrictive conditions on the coefficients of the polynomial, our results generalize and refines some classical results.

Number of zeros of a polynomial in a specific region with restricted coefficients

75%

Mir A. , Ahmad A. , Malik A. H.

Journal of Mathematics and Applications

2019

tom Vol. 42

135--146

This paper focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts(only) of the coefficients, and the real and imaginary parts of the coefficients.