Algebraic properties of bihyperbolic numbers
In this paper, we study the four-dimensional real algebra of bihyperbolic numbers. Under
consideration of the spectral representation of the bihyperbolic numbers, we give a partial …
consideration of the spectral representation of the bihyperbolic numbers, we give a partial …
Topological bicomplex modules
R Kumar, H Saini - Advances in applied Clifford algebras, 2016 - Springer
In this paper, we develop topological modules over the ring of bicomplex numbers. We
discuss bicomplex convexity, hyperbolic-valued seminorms and hyperbolic-valued …
discuss bicomplex convexity, hyperbolic-valued seminorms and hyperbolic-valued …
Integration of functions of a hyperbolic variable
ME Luna-Elizarrarás - Complex Analysis and Operator Theory, 2022 - Springer
This paper presents a systematic study of the theory of integration of hyperbolic-valued
functions from a new point of view where the notion of partial order defined on the set of …
functions from a new point of view where the notion of partial order defined on the set of …
Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars
We discuss some properties of linear functionals on topological hyperbolic and topological
bicomplex modules. The hyperbolic and bicomplex analogues of the uniform boundedness …
bicomplex modules. The hyperbolic and bicomplex analogues of the uniform boundedness …
[PDF][PDF] Fixed points of hyperbolic contraction mappings on hyperbolic valued metric spaces
N Sager, B Sağır - Sarajevo Journal of Mathematics, 2021 - researchgate.net
In this paper, we give some elementary topological concepts and results on hyperbolic
valued metric space and then, we introduce two fixed point theorems for hyperbolic valued …
valued metric space and then, we introduce two fixed point theorems for hyperbolic valued …
[PDF][PDF] Some new identities with respect to bihyperbolic Fibonacci and Lucas numbers
AZ Azak - International Journal of Sciences: Basic and Applied …, 2021 - researchgate.net
In this paper, we define bihyperbolic Lucas numbers, bihyperbolic generalized Fibonacci
numbers and give some algebraic properties of these numbers. Then, some identities …
numbers and give some algebraic properties of these numbers. Then, some identities …
Hyperbolic conformality in multidimensional hyperbolic spaces
A Golberg, ME Luna‐Elizarrarás - Mathematical Methods in the …, 2024 - Wiley Online Library
In a previous work, the hyperbolic conformality for bicomplex functions was introduced, and
it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is …
it was proved that, with the adequate hypothesis, a bicomplex holomorphic function is …
Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem
R Kumar, K Singh - Complex Variables and Elliptic Equations, 2022 - Taylor & Francis
In this paper, we study the maximal ideals in a commutative ring of bicomplex numbers and
then we describe the maximal ideals in a bicomplex algebra. We found that the kernel of a …
then we describe the maximal ideals in a bicomplex algebra. We found that the kernel of a …
Zabreiko's Lemma with Bicomplex and hyperbolic scalars and its applications
AS Rane, M Thatte - arXiv preprint arXiv:2402.06631, 2024 - arxiv.org
In this paper, we shall consider the notion of hyperbolic semi norm which on a module $ X $
to set of all positive hyperbolic numbers. We shall prove the characterization of continuity of …
to set of all positive hyperbolic numbers. We shall prove the characterization of continuity of …