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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))

1 citations · 2 across the 10 of their papers we have counts for

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10 papers

math.GM2025

Initial Value Problems for Some Functional Equations and the PENLP

Hailu Bikila Yadeta

In this paper, we study initial value problems for a class of functional equations. We introduce the concept of appropriate initial sets to enable the unique extension of an initia…

math.CV2025

Analysis of the Distribution and Asymptotic Approximations of Roots of the Polynomial Equation in the Complex Plane

Hailu Bikila Yadeta

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

math.CA2024

On the Generalization of Weinberger's Inequality with Alternating Signs

Hailu Bikila Yadeta

For given set of positive numbers satisfying the conditions: the inequality $$ \sum_{s=1}^{m} (-1)^{s-1}a^r_s \geq \left[ \sum_{s…

math.CA2024

New Indefinite Summation Formulas and Some Applications

Hailu Bikila Yadeta

In this paper, we introduce a novel indefinite summation (or antidifference ) formula for any given function . We apply the indefinite summation fo…

math.GM2024

Equality of the Casoratian and the Wronsikian for some Sets of Functions and an Application in Difference Equations

Hailu Bikila Yadeta

The Casoratian determinants are very important in the study of linear difference equation, just as the Wronskian determinants are very important in the study of linear ordinary dif…

math.CV2023

New characterizations of the ring of the split-complex numbers and the field 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 of operators, where is the identit…