Hailu Bikila Yadeta

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20222025

most citedDirect sum Decomposition of Spaces of Periodic Functions: $$ \mathbb{P}_n = \bigoplus \limits_{d|n} \ker(Φ_d(E))

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math.CV2025

Analysis of the Distribution and Asymptotic Approximations of Roots of the Polynomial Equation $z^{n + 1} = (1 + z)^{n}, n \in N$ in the Complex Plane

Hailu Bikila Yadeta

We study the spatial distribution of the positive, negative and non-real complex roots $z_{n}$ of the sequence the $(n + 1)$ th degree polynomial equation $$ z^{n+1}=(1+z)^n,\quad n \i…

math.CV2023

New characterizations of the ring of the split-complex numbers and the field $C$ of complex numbers and their comparative analyses

Hailu Bikila Yadeta

In this paper, we give a new characterization of the split-complex numbers as a vector space $L C_{2} = {x I + y E : x, y \in R, E^{2} = I}$ of operators, where $I$ is the identit…

Analysis of the Distribution and Asymptotic Approximations of Roots of the Polynomial Equation zn+1=(1+z)n,n∈N in the Complex Plane

New characterizations of the ring of the split-complex numbers and the field C of complex numbers and their comparative analyses

Analysis of the Distribution and Asymptotic Approximations of Roots of the Polynomial Equation $z^{n + 1} = (1 + z)^{n}, n \in N$ in the Complex Plane

New characterizations of the ring of the split-complex numbers and the field $C$ of complex numbers and their comparative analyses