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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.

On the number of zeros of a polynomial in a region

Kareem K. A., Mogbademu A. A.

Fasciculi Mathematici

2016

Nr 57

53--65

In this paper, we impose restrictions on the complex coefficients of a polynomial in order to give bounds concerning the number of zeros in a specific region of the complex plane. Our results generalize and refine a good number of results in this area of research.

On circularly symmetric functions

Koczan L., Zaprawa P.

Journal of Mathematics and Applications

2014

Vol. 37

59--66

[...] In this paper besides X we also consider some of its subclasses: X(...) and Y (...) S consisting of functions in X with the second coeffcient fixed and univalent starlike functions respectively. According to the suggestion, in Abstract we add one more paragraph at the end of the section: For X(...) we find the radii of starlikeness, starlikeness of order (alfa), univalence and local univalence. We also obtain some distortion results. For Y (...) S we discuss some coecient problems, among others the Fekete-Szego ineqalities.