In this paper we introduce and study two new subclasses Sigma(lambda mu mp)(alpha, beta) and Sigma(+)(lambda mu mp)(alpha, beta) of meromorphically multivalent functions which are defined by means of a new differentia...
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In this paper we introduce and study two new subclasses Sigma(lambda mu mp)(alpha, beta) and Sigma(+)(lambda mu mp)(alpha, beta) of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation and distortion theorems are obtained. We also extend the familiar concept of (n, delta)-neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions. (C) 2010 Elsevier Ltd. All rights reserved.
The purpose of this paper is to derive some subordination and superordination results for multivalent functions involving certain differential operator. (C) 2011 Elsevier Ltd. All rights reserved.
The purpose of this paper is to derive some subordination and superordination results for multivalent functions involving certain differential operator. (C) 2011 Elsevier Ltd. All rights reserved.
The main object of the present paper is to investigate a number of inclusion relationships and some other useful properties of several interesting subclasses of analytic and p-valent functions, which are defined here ...
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The main object of the present paper is to investigate a number of inclusion relationships and some other useful properties of several interesting subclasses of analytic and p-valent functions, which are defined here by means of a certain linear operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. (c) 2005 Elsevier Ltd. All rights reserved.
Let Sigma(p) denote the class of functions normalized by f(z) = z(-p) + (infinity)Sigma(n=1) a(n)z(n-p) (p is an element of N := {1,2,3,...}), which are analytic and p-valent in 0 < vertical bar z vertical bar <...
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Let Sigma(p) denote the class of functions normalized by f(z) = z(-p) + (infinity)Sigma(n=1) a(n)z(n-p) (p is an element of N := {1,2,3,...}), which are analytic and p-valent in 0 < vertical bar z vertical bar < 1. Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce some new subclasses of the meromorphically p-valent function class Sigma(p) and investigate their inclusion relationships and convolution properties. Some integral-preserving properties are also considered. (c) 2007 Elsevier Inc. All rights reserved.
Making use of a certain linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses P-a,P-c(A,B;p,lambda) and P-a,c(+)(A,B;p,lambda) of the class A(p) of...
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Making use of a certain linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses P-a,P-c(A,B;p,lambda) and P-a,c(+)(A,B;p,lambda) of the class A(p) of normalized p-valent analytic functions in the open unit disk. The main objective of the present paper is to investigate the various important properties and characteristics of each of these subclasses. Furthermore, several properties involving neighborhoods of functions in these subclasses are investigated. We also derive many results for the modified Hadamard products of functions belonging to the class P-a,c(+)(A, B;p, lambda). Finally, some applications of fractional calculus operators are considered. (c) 2007 Elsevier Ltd. All rights reserved.
The authors derive several integral inequalities associated with two interesting subclasses S(p, n, alpha) and K(p, n, alpha) of the class A(p, n) of p-valent analytic functions with missing coefficients. They also in...
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The authors derive several integral inequalities associated with two interesting subclasses S(p, n, alpha) and K(p, n, alpha) of the class A(p, n) of p-valent analytic functions with missing coefficients. They also investigate various properties and characteristics of two further classes T-lambda*(p, alpha) and C-lambda(p, alpha) of p-valent analytic functions in A(p, 1), which are introduced in this paper. Relevant connections of the various results presented here with those in earlier works are indicated. (C) 2000 Elsevier Science Ltd. All rights reserved.
The object of the present paper is to derive several properties of a certain class of multivalent functions in the open unit disk. One of our main theorems unifies and extends several earlier results in the theory of ...
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The object of the present paper is to derive several properties of a certain class of multivalent functions in the open unit disk. One of our main theorems unifies and extends several earlier results in the theory of analytic functions.
We studied convolution properties of spirallike, starlike and convex functions, and some special cases of the main results are also pointed out. Further, we also obtained inclusion and convolution properties for some ...
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We studied convolution properties of spirallike, starlike and convex functions, and some special cases of the main results are also pointed out. Further, we also obtained inclusion and convolution properties for some new subclasses on p-valent functions defined by using the Dziok-Srivastava operator. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.
Making use of a differential operator, we introduce and study a certain class SC(n)(j, p ,q, alpha, lambda) of p-valently analytic functions with negative coefficients. In this paper, we obtain numerous sharp results ...
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Making use of a differential operator, we introduce and study a certain class SC(n)(j, p ,q, alpha, lambda) of p-valently analytic functions with negative coefficients. In this paper, we obtain numerous sharp results including (for example) coefficient estimates, distortion theorem, radii of close-to convexity, starlikeness and convexity and modified Hadamard products of functions belonging to the class SC(n)(j, p, q, alpha, lambda). Finally, several applications investigate an integral operator, and certain fractional calculus operators are also considered. (c) 2009 Elsevier Ltd. All rights reserved.
Abstract: It is the object of this article to define close-to-convex multivalent functions in terms of weakly starlike multivalent functions. Six classes are defined, and shown to be equal. These generalize th...
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Abstract: It is the object of this article to define close-to-convex multivalent functions in terms of weakly starlike multivalent functions. Six classes are defined, and shown to be equal. These generalize the class of close-to-convex functions developed by Livingston in the article, $p$-valent close-to-convex functions, Trans. Amer. Math. Soc. 115 (1965), 161-179.
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