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Certain differential operators for meromorphic functions
 Houston J. Math
, 1991
"... Abstract. Let J.(•) be the class of functions of the form f(z) = a__•+ •']•ø=0 akz k regular in the punctured isk E = (z: 0 < I'.1 < 1} with a simple pole at z = 0 and satisfying Re {(D"+lf(z))'/(D"f(z)) ' 2} nk • for n•N0 = {0, 1, 2,..}, I•1 < 1, 0 < a & ..."
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Cited by 18 (0 self)
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Abstract. Let J.(•) be the class of functions of the form f(z) = a__•+ •']•ø=0 akz k regular in the punctured isk E = (z: 0 < I'.1 < 1} with a simple pole at z = 0 and satisfying Re {(D"+lf(z))'/(D"f(z)) ' 2} nk • for n•N0 = {0, 1, 2,..}, I•1 < 1, 0 < a < I where Dnf(z) = ' • b •=2 mna=_2z =2. It is proved that Jn+X (a) C Jn(a). Since J0(•) is the class of meromorphic convex functions of order a, •1 functions in J.(a) are convex. •rther property preserving integr•s are considered. 1. Introduction. Let E be the class of functions f(z) = a_, + ao + a,z + a2z 2 +... z which are regular in the punctured disk E = {z ß 0 <]z] < 1} with a simple pole at z = O. Define Dø/(z) = f(z)
VALUE DISTRIBUTION OF CERTAIN DIFFERENTIAL POLYNOMIALS
, 2001
"... We prove a result on the value distribution of differential polynomials which improves some earlier results. ..."
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Cited by 14 (1 self)
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We prove a result on the value distribution of differential polynomials which improves some earlier results.
A NOTE ON THE CERTAIN DIFFERENTIAL POLYNOMIALS
, 2007
"... Abstract. In this paper we consider the zeros of the differential polynomials f2 + af (k) − c where k is a positive integer, and a, c are nonzero constants. Our result improves a result of H.H. Chen and corrects an error of Y. Xu whose result related to H.H. Chen. 1. Introduction and ..."
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Abstract. In this paper we consider the zeros of the differential polynomials f2 + af (k) − c where k is a positive integer, and a, c are nonzero constants. Our result improves a result of H.H. Chen and corrects an error of Y. Xu whose result related to H.H. Chen. 1. Introduction and
Certain Differential Inequalities Involving Multivalent Functions
"... Abstract In the present paper, using Jack's lemma, we study certain differential inequalities involving multivalent functions in the open unit disk E = {z : z < 1} and obtain sufficient conditions for uniformly pvalent closetoconvex and uniformly pvalent starlike functions. ..."
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Abstract In the present paper, using Jack's lemma, we study certain differential inequalities involving multivalent functions in the open unit disk E = {z : z < 1} and obtain sufficient conditions for uniformly pvalent closetoconvex and uniformly pvalent starlike functions.
Anomaly Detection: A Survey
, 2007
"... Anomaly detection is an important problem that has been researched within diverse research areas and application domains. Many anomaly detection techniques have been specifically developed for certain application domains, while others are more generic. This survey tries to provide a structured and c ..."
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Cited by 540 (5 self)
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Anomaly detection is an important problem that has been researched within diverse research areas and application domains. Many anomaly detection techniques have been specifically developed for certain application domains, while others are more generic. This survey tries to provide a structured
THE ROLE OF AN INTEGRAL INEQUALITY IN THE STUDY OF CERTAIN DIFFERENTIAL EQUATIONS
, 2005
"... ABSTRACT. In this paper we present an integral inequality and show how it can be used to study certain differential equations. Namely, we will see how to establish (global) existence results and determine the decay rates of solutions to abstract semilinear problems, reaction diffusion systems with t ..."
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ABSTRACT. In this paper we present an integral inequality and show how it can be used to study certain differential equations. Namely, we will see how to establish (global) existence results and determine the decay rates of solutions to abstract semilinear problems, reaction diffusion systems
Explicit Allocation of BestEffort Packet Delivery Service
, 1998
"... This paper presents the “allocatedcapacity” framework for providing different levels of besteffort service in times of network congestion. The “allocatedcapacity” framework—extensions to the Internet protocols and algorithms—can allocate bandwidth to different users in a controlled and predictable ..."
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Cited by 467 (2 self)
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the network resources. We focus on algorithms for essential components of the framework: a differential dropping algorithm for network routers and a tagging algorithm for profile meters at the edge of the network for bulkdata transfers. We present simulation results to illustrate the effectiveness
LYAPUNOV TYPE INTEGRAL INEQUALITIES FOR CERTAIN DIFFERENTIAL EQUATIONS
"... Abstract. In the present paper we establish Lyapunov type integral inequalities related to the zeros of solutions of certain secondorder differential equations by using elementary analysis. We also present some immediate applications of our results to study the asymptotic behavior of solutions of t ..."
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Abstract. In the present paper we establish Lyapunov type integral inequalities related to the zeros of solutions of certain secondorder differential equations by using elementary analysis. We also present some immediate applications of our results to study the asymptotic behavior of solutions
CHARACTERIZATIONS OF MODEL MANIFOLDS BY MEANS OF CERTAIN DIFFERENTIAL SYSTEMS
, 903
"... Abstract. We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of spaceforms. In the route, we also discover new characterizations of spaceforms. We next generalize results concerning ..."
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Cited by 1 (1 self)
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Abstract. We prove metric rigidity for complete manifolds supporting solutions of certain second order differential systems, thus extending classical works on a characterization of spaceforms. In the route, we also discover new characterizations of spaceforms. We next generalize results
CERTAIN DIFFERENTIAL SUBORDINATIONS USING SĂLĂGEAN AND RUSCHEWEYH OPERATORS
"... Abstract. In the present paper we define a new operator using the Sălăgean and Ruscheweyh operators. Denote by SRn the Hadamard product of the Sălăgean operator Sn and the Ruscheweyh operator Rn, given by SRn: A → A, SRnf (z) = (Sn ∗ Rn) f (z) and An = {f ∈ H(U), f(z) = z + an+1zn+1 +..., z ∈ U} is ..."
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} is the class of normalized analytic functions with A1 = A. We study some differential subordinations regarding the operator SRn.
Results 1  10
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