Results 1 to 10 of about 160,667 (260)
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
doaj +3 more sources
An investigation on hyper S-posets over ordered semihypergroups
Open Mathematics, 2017 In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
doaj +3 more sources
A Note on the w-Pseudo-Orders in Ordered (Semi)Hyperrings [PDF]
Symmetry, 2021 In this work, we study the notion of w-pseudo-order on an ordered (semi)hyperring and give some explicit examples. In addition, we give some examples to compare weak pseudo-order relations with pseudo-order relations. Finally, we construct ordered (semi)hyperrings using regular relations.
Xiaoli Qiang +2 more
openaire +1 more source
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 +1 more
doaj +1 more source
Symmetry, 2022 The concept of convex ordered hyperrings associated with a strongly regular relation was investigated in this study. In this paper, we first studied hyperatom elements of ordered hyperrings and then investigated characterizations of quotient ordered rings.
Yongsheng Rao +2 more
openaire +1 more source
Order and Hyper-order of Solutions of Second Order Linear Differential Equations [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2020 In this paper, the authors investigate the growth of solutions of second order linear differentilal equations. They determine new conditions on the coefficients in order that every non-trivial solution has an infinite order by introducing the notions of function extremal to Yang's inequality and extremal to Denjoy's conjecture.
Sanjay Kumar, Manisha Saini
openaire +2 more sources
FOUNDATIONS OF ORDERED (SEMI)HYPERRINGS [PDF]
Journal of the Indonesian Mathematical Society, 2017 In this paper, we introduce the notion of general hyperring $(R,+,\cdot)$ besides a binary relation $\le $, where $\le $ is a partial order such that satisfies the conditions: (1) If $a \le b$, then $a+c \le b+c$, meaning that for any $x \in a+c$, there exists $y \in b+c$ such that $x\le y$. The case $c+a\le c+b$ is defined similarly.
Omidi, Saber, Davvaz, Bijan
openaire +2 more sources
A Topology on a Hyper BCI-algebra Generated by a Hyper-order
European Journal of Pure and Applied Mathematics, 2021 In this paper, we introduce an operator on a hyper BCI-algebra via application of aleft hyper-order. The family consisting of the images of subsets under the operator turns out to be a base for some topology on the hyper BCI-algebra. We investigate some important properties of the induced topology on certain hyper BCI-algebras.
Michelle Panganduyon +2 more
openaire +2 more sources
A NOTE ON THE HYPER-ORDER OF ENTIRE FUNCTIONS [PDF]
Bulletin of the Korean Mathematical Society, 2013 The main purpose of this paper is to study properties of the order and the hyper-order of the solutions of some differential equations. The authors estimate the hyper-order of entire functions which share two functions with their first derivative, and two examples are given to show that the conclusion is sharp.
Lü, Feng, Qi, Jianming
openaire +1 more source
A Study on Special Kinds of Derivations in Ordered Hyperrings
Symmetry, 2022 In this study, we concentrate on an important class of ordered hyperstructures with symmetrical hyperoperations, which are called ordered Krasner hyperrings, and discuss strong derivations and homo-derivations. Additionally, we apply our results on nonzero proper hyperideals to the study of derivations of prime ordered hyperrings.
Yongsheng Rao +3 more
openaire +1 more source