Results 1 to 10 of about 10,850,329 (243)

A Hyper-Dual Number Approach to Higher-Order Derivative Computation [PDF]

Axioms
This paper develops a theoretical framework for the computation of higher-order derivatives based on the algebra of hyper-dual numbers. Extending the classical dual number system, hyper-dual numbers provide a natural and rigorous mechanism for encoding ...
Ji Eun Kim
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Hyper Relative Order (p, q) of Entire Functions [PDF]

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
After the works of Lahiri and Banerjee [6] on the idea of relative order (p, q) of entire functions, we introduce in this paper hyper relative order (p, q) of entire functions where p, q are positive integers with p>q and prove sum theorem, product ...
Banerjee Dibyendu, Batabyal Saikat
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Hyper-Ordinal Pattern: Measuring High-Order Connection Relationship in Brain Disease Networks

IEEE Transactions on Neural Systems and Rehabilitation Engineering
Brain hyper-networks as a kind of hypergraph for brain network analysis, describing the high-order interactions among brain regions, have been extensively utilized in research on brain diseases such as mild cognitive impairment (MCI) and Alzheimer’
Tianyu Du, Kai Ma, Xibei Yang, Daoqiang Zhang   +3 more
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On Hyper CI-algebras [PDF]

Mathematics Interdisciplinary Research, 2023
In this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined.
Somayeh Borhani Nejad Rayeni, Akbar Rezaei   +1 more
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On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers

Axioms, 2023
Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico, Paula Catarino, Paulo Vasco   +2 more
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The hyper order and fixed points of solutions of linear differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we obtain a precise estimation of the hyper order of solutions for a class of higher order linear differential equation, and also investigate the exponents of convergence of the fixed points of solutions and their first derivatives for the
Lianzhong Yang, Nan Li
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Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators [PDF]

Arab Journal of Mathematical Sciences, 2022
Purpose – The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator. Design/methodology/approach – Standard methodology for papers in difference and shift operators and value ...
Abhijit Banerjee, Arpita Roy
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On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations [PDF]

Opuscula Mathematica, 2017
In this paper, we investigate the growth of meromorphic solutions of the linear differential equation \[f^{(k)}+h_{k-1}(z)e^{P_{k-1}(z)}f^{(k-1)}+\ldots +h_{0}(z)e^{P_{0}(z)}f=0,\] where \(k\geq 2\) is an integer, \(P_{j}(z)\) (\(j=0,1,\ldots ,k-1\)) are
Karima Hamani, Benharrat Belaïdi
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On the zeros of solutions of any order of derivative of second order linear differential equations taking small functions

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, we investigate the hyper-exponent of convergence of zeros of $f^{(j)}(z)-\varphi(z) (j\in N)$, where $f$ is a solution of second or $k(\geq2)$ order linear differential equation, $\varphi(z)\not\equiv0$ is an entire function satisfying ...
Jin Tu, Hong-Yan Xu, Cui-Yan Zhang
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Single-Valued Neutro Hyper BCK-Subalgebras

Journal of Mathematics, 2021
The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In
M. Hamidi, F. Smarandache
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