Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation
نویسندگان
چکیده
منابع مشابه
Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation
The purpose of the present paper is to introduce new subclasses of analytic functions and to investigate inclusion properties of these classes, using the principle of subordination. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45
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Using the principle of subordination, we obtain some inclusion properties of certain subclasses of analytic functions defined by a generalized multiplier transformation. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45
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Let A denote the class of analytic functions with the normalization f(0) = f ′(0) − 1 = 0 in the open unit disk U = {z : |z| < 1}, set f b,λ(z) = z + ∞ ∑ k=2 (k + b 1 + b )n (k + λ− 1)! λ!(k − 1)! z k (n ∈ C, b ∈ C \ Z−, λ > −1; z ∈ U). and define (fn b,λ) (−1) in terms of the Hadamard product f b,λ(z) ∗ (f b,λ)(z) = z (1 − z)μ (μ > 0; z ∈ U). In this paper, the authors introduce several new su...
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which are analytic in the open unit disk U {z ∈ C : |z| < 1}. If f and g are analytic in U, we say that f is subordinate to g, written f ≺ g or f z ≺ g z if there exists an analytic function w in U with w 0 0 and |w z | < 1 for z ∈ U such that f z g w z . We denote by S∗, K, and C the subclasses of A consisting of all analytic functions which are, respectively, starlike, convex, and close-to-co...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2006
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.08.022