In this paper, we introduce and investigate various inclusion relationships and convolution properties of a certain class of meromorphically p-valent functions, which are defined in this paper by means of a linear ope...
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In this paper, we introduce and investigate various inclusion relationships and convolution properties of a certain class of meromorphically p-valent functions, which are defined in this paper by means of a linear operator. (C) 2011 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 the familiar Dziok-Srivastava operator defined by means of a Hadamard product (or convolution), we introduce here a new class of multivalently analytic functions and investigate several interesting prope...
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Making use of the familiar Dziok-Srivastava operator defined by means of a Hadamard product (or convolution), we introduce here a new class of multivalently analytic functions and investigate several interesting properties of this multivalently analytic function class. We also show how the results presented here are related to those in earlier works on the subject.
Let A be a class of functions f(z) of the form f(z) = z + Sigma(infinity)(n=2) a(n)z(n) (0.1) which are analytic in the open unit disk U. By means of the Dziok-Srivastava operator, we introduce a new subclass S'(m...
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Let A be a class of functions f(z) of the form f(z) = z + Sigma(infinity)(n=2) a(n)z(n) (0.1) which are analytic in the open unit disk U. By means of the Dziok-Srivastava operator, we introduce a new subclass S'(m) (alpha(1), alpha, mu) (l <= m + 1, l, m is an element of N boolean OR functions, -pi/2 < alpha < pi/2, mu > - cos alpha) of A. In particular, S-0(1) (2, 0, 0) coincides with the class of uniformly convexfunctions introduced by Goodman. The order of starlikeness and the radius of alpha-spirallikeness of order beta (beta < 1) are computed. Inclusion relations and convolution properties for the class S'(m) (alpha(1), alpha, mu) are obtained. A special member of S'(m) (alpha(1), alpha, mu) is also given. The results presented here not only generalize the corresponding known results, but also give rise to several other new results.
In this paper we introduce an operator associated with a certain variation of the Bessel function J(nu)(z) in the unit disk. By using this operator and the method of differential subordination we obtain some propertie...
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In this paper we introduce an operator associated with a certain variation of the Bessel function J(nu)(z) in the unit disk. By using this operator and the method of differential subordination we obtain some properties such as convolution and radius of starlikeness of the function class Omega(p)(k, c, lambda : h)
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