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On Eneström-Kakeya theorem for a quaternionic polynomial

Mogbademu Adesanmi A.

Fasciculi Mathematici

2023

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.

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

Mir Abdullah, Ahmad Abrar, Malik Adil Hussain

Journal of Mathematics and Applications

2019

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.

Location of zeros of Lacunary-type polynomials

Qasim I., Rasool T., Liman A.

Journal of Mathematics and Applications

2018

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.