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Uniform Closure of Certain Classes of Operators
"... ABSTRACT. In this article. the author proved that certain classes of ..."
Abstract ON CERTAIN CLASSES OF MODULES
"... Let X be any class of Rmodules containing 0 and closed under isornorpllic images. With any such X we associate three classes FX, FX and ¿5X. 7.'lie study of some of the closure properties of three classes allows Lis to obtain characterization of Artinian modules dualizing results of Chatters. ..."
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Let X be any class of Rmodules containing 0 and closed under isornorpllic images. With any such X we associate three classes FX, FX and ¿5X. 7.'lie study of some of the closure properties of three classes allows Lis to obtain characterization of Artinian modules dualizing results of Chatters
ON CERTAIN CLASSES OF ANALYTIC FUNCTIONS
, 2005
"... ABSTRACT. Let A be the class of functions f: f(z) = z + ∑ ∞ n=2 anz n which are analytic in the unit disk E. We introduce the class Bk(λ, α, ρ) ⊂ A and study some of their interesting properties such as inclusion results and covering theorem. We also consider an integral operator for these classes ..."
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ABSTRACT. Let A be the class of functions f: f(z) = z + ∑ ∞ n=2 anz n which are analytic in the unit disk E. We introduce the class Bk(λ, α, ρ) ⊂ A and study some of their interesting properties such as inclusion results and covering theorem. We also consider an integral operator
DIFFERENTIALS IN CERTAIN CLASSES OF GRAPHS
"... Abstract. Let X ⊂ V be a set of vertices in a graph G = (V, E). The boundary B(X) of X is defined to be the set of vertices in V − X dominated by vertices in X, that is, B(X) = (V − X) ∩ N(X). The differential ∂(X) of X equals the value ∂(X) = B(X)  − X. The differential of a graph G is defi ..."
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is defined as ∂(G) = max{∂(X)X ⊂ V}. It is easy to see that for any graph G having vertices of maximum degree ∆(G), ∂(G) ≥ ∆(G)−1. In this paper we characterize the classes of unicyclic graphs, split graphs, grid graphs, kregular graphs, for k ≤ 4, and bipartite graphs for which ∂(G) = ∆(G) − 1. We also
On The Zeros of Certain Class of Polynomials
"... Abstract: Let P(z) be a polynomial of degree n with real or complex coefficients. The aim of this paper is to obtain a ring shaped region containing all the zeros of P(z). Our results not only generalize some known results but also a variety of interesting results can be deduced from them. I. Introd ..."
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Abstract: Let P(z) be a polynomial of degree n with real or complex coefficients. The aim of this paper is to obtain a ring shaped region containing all the zeros of P(z). Our results not only generalize some known results but also a variety of interesting results can be deduced from them. I. Introduction and Statement of Results The following beautiful result which is wellknown in the theory of distribution of zeros of polynomials is due to Enestrom and Kakeya [9].
MAJORIZATION FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS
"... Abstract. In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by fractional derivatives. Moreover, we point out some new or known consequences of our main result. ..."
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Abstract. In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by fractional derivatives. Moreover, we point out some new or known consequences of our main result.
ON CERTAIN CLASSES OF FUNCTIONS DEFINED BY CONVOLUTIONS
"... Abstract. The object of the present paper is to obtain several interesting results involving coefficient estimates for analytic normalized functions belonging to certain classes defined in terms of the convolution with the extremal function for the class of starlike functions of order α, 0 ≤ α < ..."
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Abstract. The object of the present paper is to obtain several interesting results involving coefficient estimates for analytic normalized functions belonging to certain classes defined in terms of the convolution with the extremal function for the class of starlike functions of order α, 0 ≤ α <
The permutation of a certain class of matrices
"... An efficient permutation algorithm is developed for a certain class of matrices; namely, those that possess constant and variable elements. A partitioning technique is employed that separates the constant portion from the variable part. A number of tests are developed to maintain an optimum bandwidt ..."
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An efficient permutation algorithm is developed for a certain class of matrices; namely, those that possess constant and variable elements. A partitioning technique is employed that separates the constant portion from the variable part. A number of tests are developed to maintain an optimum
Results 1  10
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1,671,612