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Giving the proper citations, it is shown that, except of Lemma 2.4 and Theorem 2.6, almost all the results of the paper in the title have been previously published for ordered hypersemigroups in Eur. J. Pure Appl. Math. and they are not new. There are also two results obtained from ordered semigroups just putting a "o" instead of "o" (that isn't a correct way to work), without reference to ordered semigroups on which the results on ordered hypersemigroups are based. One of them can be obtained as corollary to a theorem in Eur. J. Pure Appl. Math. as well, and it is not new. [ABSTRACT FROM AUTHOR]

The aim of the present paper is to introduce some new subclasses of analytic multivalent functions S*(p, µ,d) and C*(p, µ,d). In the present paper, we determine the necessary and sufficient conditions for the Generalized Poisson Distribution Series to be in the subclasses S*(p, µ,d) and C*(p, µ,d). Some interesting results using the Generalized Poisson distribution series on these subclasses are also derived. [ABSTRACT FROM AUTHOR]

Among several number triangles that exist in mathematics, Pascal's triangle is the most fascinating and prominent structure possessing numerous properties. In this paper, we will introduce a number triangle consisting of positive integers arranged in ascending to descending order so that the entries in each row would be mirror images with respect to its middle number. Using this simple number triangle, we have proved six amusing results which interestingly depend only as functions of its centred numbers. Moreover some of the concepts and results discussed in this paper have connection with Tamil literary work and triangular numbers. [ABSTRACT FROM AUTHOR]

The interplay of groups and graphs has been a subject of interest by mathematics researchers nowadays. One particular instance is the identity graph of a group introduced by Kandasamy [6]. Moreover, the concept of a central graph of any graph is widely used by many graph theorist. The central graph of a graph G denoted by C(G) can be obtained by subdividing the edge of G exactly once and joining all the nonadjacent vertices of G in C(G). In this paper, we construct the central graph of the identity graph of finite cyclic group and investigate some of its graph properties [ABSTRACT FROM AUTHOR]

This paper's primary goal is to define μ-(λ,δ)-m-derivation in μ-near-ring Nand investigate a few properties. We also research and debate the commutativity of addition multiplication of prime μ-near-ring with μ-(λ,δ)-m-derivation. [ABSTRACT FROM AUTHOR]

The quick progress of this technology becomes vital in upcoming years. Cryptography is where security engineering meets mathematics. It gives us the tools that most modern security protocols rely on. It is perhaps the most important enabling technology for securing distributed systems, yet it is surprisingly difficult to do correctly. Any form of data on a network is private to an individual, and attackers can access it while sharing it with the intended receiver. The demand for availability, confidentiality, Integrity and non-repudiation required for handling is increased. This paper discussed brief about cryptographic methodology and a new model for enhancing cryptographic goals that can be used to secure applications. [ABSTRACT FROM AUTHOR]

The aim of this research work is to introduce the new concept of interval-valued intuitionistic fuzzy topological vector space(in brief IVIF-topological vector space). In this paper, the concept of IVIF-vector point, IVIF-Quasicoincidence were defined. In further, the relationship between IVIF-NQCneighbourhood, IVIF-QCneighbourhood and its bases in IVIF-topological vector space discussed. Also introduced the concept of ConvexIVIF set, Strongly ConvexIVIF set and Strictly ConvexIVIF set, in IVIF-topological vector spaces. Then it continued to the discussion about the properties and the relationship between these ConvexIVIF sets. [ABSTRACT FROM AUTHOR]

A signed graph is defined by an ordered pair () , G= where), (EVG= is an underlying graph of  and   -+→, :E is a function called a signature function. In this paper we define the edge domination parameters like positive edge domination number and negative edge domination number in signed graph. Further investigate the properties and bound of these domination parameters. In addition explain the theorem with examples. [ABSTRACT FROM AUTHOR]

The this paper, we introduce a new class of closed sets called Beta generalized closed set in topological spaces is to describe and analyze the basics of the set of closed sets, especially Beta generalized closed set in topological spaces. We also study their properties with few existing examples of closed sets, along with their characterizations. [ABSTRACT FROM AUTHOR]

An S-Topological BE-Algebras(STBE-Algebras) is a BE-Algebra equipped with a special type of topology that makes the operation (defined on it)as S-topological continuous. In this paper, we discuss the separation axioms on a STBE-Algebras. [ABSTRACT FROM AUTHOR]

The paper presents error bounds for the second order exponential Runge-Kutta method for parabolic abstract linear time-dependent differential equations incorporating non-smooth initial data. As an example for this particular type of problems, the paper presents a spatial discretization of a partial integro-differential equation arising in financial mathematics, where non-smooth initial conditions occur in option pricing models. For this example, numerical studies of the convergence rate are given. [ABSTRACT FROM AUTHOR]

All the results on semigroups obtained using only sets, can be written in an abstract form in a more general setting. Let us consider a recent paper to justify what we say. The biinterior ideals of semigroups introduced and studied by M. Murali Krishna Rao in Discuss. Math. Gen. Algebra Appl. in 2018, follow for more general statements about ordered semigroups. The same holds for every result of this sort on semigroups based on right (left) ideals, bi-ideals, quasiideals, interior ideals etc. for which we use sets. As a result, we have an abstract formulation of the results on semigroups obtained by sets that is in the same spirit with the abstract formulation of general topology (the so-called topology without points) initiated by Koutský, Nöbeling and, even earlier, by Chittenden, Terasaka, Nakamura, Monteiro and Ribeiro. As a consequence, results on ordered Γ-hypersemigroups and on similar simpler structures can be obtained. [ABSTRACT FROM AUTHOR]

In this paper, we investigate some properties of weak graded rings that are rings graded by a set G of coset representatives for the left action of a subgroup H on a group X. Moreover, a graded rings by using the product H × G are also discussed. A detailed example is given. [ABSTRACT FROM AUTHOR]

The paper deals with hypergroupoids obtained from ternary relations.The correspondence between ternary relation and hypergroups, studied by the author, especially in the case when the relation ρ is symmetric and reflexive, is analyzed here in the most general context.A necessary and sufficient condition on a ternary relation ρ is obtained for the associated hypergroupoid to be a hypergroup or a join space. Extension of a hyperoperation associated with a ternary relation being employed to obtain a associated join space of the spherical geometry. [ABSTRACT FROM AUTHOR]

Logic regression, as developed by Ruczinski, Kooperberg, and LeBlanc [1], is a multivariable regression methodology that constructs logical relationships among Boolean predictor variables that best predicts a Boolean dependent variable. More specifically, it finds a regression model of the form g[E∣Y]=b0+b1 L1+b2L2+⋯bmLm where both the coefficients b0, b1,…,bm and the logical expressions Lj, j=1,…, m are determined, whereby a logical expression one means logical relationships among the predictor variables, such as "X1, X2 are true but not X5 " , or "X3, X5, X7 are true but not X1 or X2 " In paper [1] the authors investigate the use a simulated annealing algorithm. In this paper. the Group Method of Data Handling (GMDH) is used. [ABSTRACT FROM AUTHOR]

This paper uses key algebraic relationships between matrix Padé approximation and certain multivariate time series models. These relationships help us to obtain relevant results for solving the problems of identifiability and exchangeability in several models. We develop a new generalization of the corner method and apply it to the multivariate case. One advantage of the procedure is the presentation of the results in easily interpretable tables. We define new canonical representations. The paper also contains additional theoretical results improving on formulations of the corresponding algorithm that will assist us. The technique is illustrated in Vectorial Autoregressive Moving Average models by using a theoretical example. [ABSTRACT FROM AUTHOR]

In this paper, we introduced a quantum space generated by three noncommutative coordinates with two commutation parameters. We also give a Hopf algebra structure in order to construct a bicovariant differential calculus over this quantum space. Morever, it is shown that noncommutative derivative operators corresponding to the coordinates comprise a Weyl algebra deformed by the commutation parameters. [ABSTRACT FROM AUTHOR]

We obtain in this paper the solutions of the following difference equations xn+1 = xn-3/±1± xn-1 xn-3, n=0,1,…, where the initial conditions are arbitrary nonzero real numbers. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to give a new generalization of the operator-valued Poisson kernel and discuss its some applications. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some sufficient conditions for Sakaguchi type function of order β, defined on the open unit disk. Several interesting consequences of our results are also pointed out. [ABSTRACT FROM AUTHOR]

In this paper we introduce a stronger type of primary decomposition of a Noetherian ring. We call such a ring a Transparent ring and show that if R is a commutative Noetherian ring, which is also an algebra over Q (the field of rational numbers); σ an automorphism of R and δ a σ-derivation of R such that δ(σ(a)) = σ(δ(a)), for all a ϵ R. Further more if aσ(a) ϵ P(R) implies that a ϵ P(R), (P(R) the prime radical of R), then R[χ;σ,δ] is a Transparent ring. [ABSTRACT FROM AUTHOR]

G-regular and reflexive naturally ordered abundant semigroups each of whose idempotents has a greatest inverse are studied. In this paper, we give a construction theorem for such ordered semigroups. Our theorem extends a previous structure theorem on naturally ordered abundant semigroups of X.J. Guo and X.Y. Xie [13]. Some other results related to naturally ordered regular semigroups are amplified and strengthened. [ABSTRACT FROM AUTHOR]

In this paper, Numerical solution of Partial Diferential-Algebraic Equa- tions(PDAEs) is considered by Multivariate Padè Approximations. We applied these method to one example. First Partial Diferential-Algebraic Equation(PDAE) has been converted to power series by two-dimensional diferential transformation,Then the numerical solution of equation was put into Multivariate Padè series form. Thus we obtained numerical solution of Partial Diferential-Algebraic Equa- tion(PDAE). [ABSTRACT FROM AUTHOR]

A generalization of regularity called θ-regularity was earlier introduced to decompose normality and also utilised to factorize regularity. Every normal space need not be regular, but every normal space is θ-regular. In this paper three variants of θ-regular spaces is introduced and studied. [ABSTRACT FROM AUTHOR]

In 1940 (and 1964) S.M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H. Hyers solved the Hyers-Ulam problem for linear mappings. In 2008, J. M. Rassias introduced the generalised Hyers-Ulam "product-sum" stability. In this paper we introduce a Cauchy type ad- ditive functional equation and investigate the generalised Hyers-Ulam "product-sum" stability of this equation. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new class Bml(α,δ) of functions which is defined by hypergeometric function and obtain its relations with some well-known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family Bml(α,δ). [ABSTRACT FROM AUTHOR]

In this paper, by usingβ*-set [24] we introduce a new class of sets calledβ* g-closed sets, which is stronger than g-closed sets and weaker than closed sets. We define two new separation axioms calledβ*T1/2 andβ**T1/2 spaces as applications ofβ* g-closed sets. The notionsβ* g-continuity andβ* g-irresoluteness are also introduced. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some applications of first order differential subordination and superordination results involving a linear operator and other linear operators for certain normalized analytic functions. Some of our results generalize previously known results. [ABSTRACT FROM AUTHOR]

In this paper, we introduce (α,β,δ)-neighborhoods of analytic functions with negative coefficients. Furthermore, we obtain some interesting results for functions belonging to this neighborhoods. [ABSTRACT FROM AUTHOR]

Abstract. In this paper, we obtain some applications of first order differential subordination and superordination results for some analytic functions defined by convolution. [ABSTRACT FROM AUTHOR]

In this paper it is shown that two-dimensional cellular automata with Von Neumann neighborhoods are not suitable for cryptographic purposes. This result is obtained after analyzing the most important cryptographic properties of boolean functions defining their local transition rules [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to derive some inclusion properties and argument estimates of certain normalized analytic functions in the open unit disk, which are defined by means of a class of multiplier transformations. Furthermore, the integral preserving properties in a sector are investigated for these multiplier transformations. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate a new class of sets and maps between topological spaces called supra b-open sets and supra b-continuous maps, respectively. Furthermore, we introduce the concepts of supra b-open maps and supra b-closed maps and investigate several properties of them. [ABSTRACT FROM AUTHOR]

Given any positive integer k, a (p, q)-graph G = (V, E) is strongly k-indexable if there exists a bijection f : V → {0,1,2, …, p - 1} such that f +(E(G)) = {k, k + 1, k + 2, …, k + q - 1, } where f+(uv) = f (u)+ f (v) for any edge uv ϵ E; in particular, G is said to be strongly indexable when k = 1. For any strongly k-indexable (p, q)-graph G, q ≤ 2p - 3 and if, in particular, q = 2p - 3 then G is called a maximal strongly indexable graph. In this paper, our main focus is to construct more classes of k-strongly indexable graphs. [ABSTRACT FROM AUTHOR]

In this paper, we discuss the peristaltic and pulsatile flow of a couple stress fluid through porous medium in a channel bounded by flexible walls. The non-linear equations governing the flow through porous medium are solved under perturbation scheme. The flow separation, the formation of bolus and phenomenon of reflux and the velocity filed and the wall stress are investigated analytically and their behavior is discussed computationally. [ABSTRACT FROM AUTHOR]

This paper deals with the shape preserving C1 rational cubic interpolation. The developed rational cubic interpolating function has only one free parameter. The approximation order of rational cubic function is investigated and range of optimal error constant is determined. Moreover, positive, constrained and monotone data preserving schemes are developed. [ABSTRACT FROM AUTHOR]

In this paper we propose new version of cooperative games. In fact the notion of cooperative games and their concavifications are extended. As a consequence, in this new setting it turn out that coreV ≠ 0 if and only if cav(u)(CΩ) = u(CΩ). [ABSTRACT FROM AUTHOR]

This paper is concerned with initial value problem of the nonlinear coupled Schrödinger equations. We study local well posedness in the Banach algebra E02,1(Rn) which is the extension of Hs(Rn) when s ≥ n/2. The method we use is similar to the method of semigroup. [ABSTRACT FROM AUTHOR]

Typical multivariate analysis assumes independence among the individual observations as well as elliptical symmetry of distributions. In many situations these assumptions may be too restrictive. This paper studies a class of flexible matrix variate distribution models that can represent both skewed and symmetric distributions which can also account for dependence among individual observations. We derive the moment generating function and study linear and quadratic forms of interest that help understand the properties of these models. [ABSTRACT FROM AUTHOR]

In this paper among other things we find some necessary and sufficient conditions for a Banach algebra A, to be (σ,τ)-amenable, where σ and τ are continuous homomorphisms on A. [ABSTRACT FROM AUTHOR]

This paper presents an efficient approximate method to obtain a numerical solution, which is bounded at the end point x = -1, for Cauchy type singular integral equations of the first kind on the interval [-1,1]. The solution is derived by approximating the unknown density function using the weighted Chebyshev polynomials of the third kind, and then computing the Cauchy singular integral which is obtained analytically. The known force function is interpolated using the Chebyshev polynomials of the fourth kind. The exactness of this approximate method is shown for characteristic equation when the force function is a cubic. Particular result is also given to show the exactness of this method. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and discuss minimal γ-open sets in topological spaces. We establish some basic properties of minimal γ-open sets and provide an example to illustrate that minimal γ-open sets are independent of minimal open sets introduced and discussed in [3]. We obtain some properties of pre γ-open sets using properties of minimal γ-open sets. As an application of a theory of minimal γ-open sets, we obtain a sufficient condition for a γ-locally finite space to be a pre γ-T2 space. [ABSTRACT FROM AUTHOR]

In this paper, shunting inhibitory cellular neural networks (SICNNs) with timevarying and distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, some new sufficient conditions for the existence and exponential stability of the almost periodic solutions are established. Finally, a numerical example is given to demonstrate the effectiveness of the obtained result. [ABSTRACT FROM AUTHOR]

Flocking, arguably one of the most fascinating concepts in nature, has in recent times established a growing stature within the field of robotics. In this paper, we control the collective motion of a flock of nonholonomic car-like vehicles in a constrained environment. A continuous centralized motion planner is proposed for split/rejoin maneuvers of the flock via the Lyapunov-based control scheme to anchor avoidance of obstacles intersecting the paths of flockmates. The control scheme inherently utilizes the artificial potential fields, within a new leader-follower framework, to accomplish the desired formations and reformations of the flock. The effectiveness of the proposed control laws are demonstrated through computer simulations. [ABSTRACT FROM AUTHOR]

Pepin's test provides a necessary and sufficient condition for a Fermat number to be prime. The Lucas-Lehmer test does similarly for a Mersenne number. These tests share a common nature. However, this is evident neither by their usual statements nor their usual treatment in the literature. Furthermore, it is unusual to even find a proof of the latter result in elementary textbooks. The intent of this paper is to bring to light the equivalent structure of these two primality tests [ABSTRACT FROM AUTHOR]

The object of the present paper is to investigate several classes of analytic functions with varying argument of coefficients, which are defined here by means of the principle of subordination between analytic functions. Such properties as the coefficient estimates, distortion theorems, subordination theorems, convolution properties, integral means inequalities, and radii of conexity and starlikenes are investigated. Some consequences of our main results for new or known classes of analytic functions are also pointed out. [ABSTRACT FROM AUTHOR]