Ma jorization Results and Coefficients Bounds for a Class of Univalent Functions Asso ciated with Operator |
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Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;Engineering and Technical College, Chengdu University of Technology, Leshan 614007, China |
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Abstract: | In this paper we introduce a new general subclass n,g ∑ a,λ(A, B,α) of univalent func-tions related the known integral operator and differential operator. Some majorization re-sults for n,g ∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on|a2|and|a3|for functions in?n,g ∑ a,λ(A1, B1, A2, B2,α1,α2), which is the bi-univalent functions defined by n,g ∑ a,λ(A, B,α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed. |
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Keywords: | analytic functions integral operator majorization subordination bi-univalent functions |
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