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Coefficient Estimates for a Certain General Subclass of Analytic and Bi-Univalent Functions 被引量:3
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作者 Nanjundan Magesh Jagadeesan Yamini 《Applied Mathematics》 2014年第7期1047-1052,共6页
Motivated and stimulated especially by the work of Xu et al. [1], in this paper, we introduce and discuss an interesting subclass of analytic and bi-univalent functions defined in the open unit disc U. Further, we fin... Motivated and stimulated especially by the work of Xu et al. [1], in this paper, we introduce and discuss an interesting subclass of analytic and bi-univalent functions defined in the open unit disc U. Further, we find estimates on the coefficients and for functions in this subclass. Many relevant connections with known or new results are pointed out. 展开更多
关键词 ANALYTIC FUNCTIONS UNIVALENT FUNCTIONS Bi-Univalent FUNCTIONS bi-starlike FUNCTIONS
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Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions
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作者 C.Selvaraj O.S.Babu G.Murugusundaramoorthy 《Analysis in Theory and Applications》 2014年第2期141-150,共10页
In this paper, we introduce and investigate a new subclass of the function class ∑. of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Fu... In this paper, we introduce and investigate a new subclass of the function class ∑. of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several (known or new) consequences of the results are also pointed out. 展开更多
关键词 Analytic functions univalent functions bi-univalent functions bi-starlike functions bi-convex functions bi-Mocanu-convex functions SUBORDINATION Hohlov operator.
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