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A Certain Subclass of Analytic Functions with Bounded Positive Real Part
Department of Mathematics, Kyungsung University, Busan, South Korea
Department of Mathematics, Kyungsung University, Busan, South Korea
- 1 Department of Mathematics, Kyungsung University, Busan, South Korea
- 2 Department of Mathematics, Kyungsung University, Busan, South Korea
Advances in Pure Mathematics·Volume 03 (2013)·Pages 409–414·Published 1 July 2013·DOI10.4236/apm.2013.34059
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Abstract
For real number s α and β such that 0 ≤ α ＜ 1 ＜ β , we denote by T ( α , β ) the class of normalized analytic functions which satisfy , where U denotes the open unit disk. We find some relationships involving functions in the class T ( α , β ) . And we estimate the bounds of coefficients and solve Fekete-Szego problem for functions in this class. Furthermore, we investigate the bounds of initial coefficients of inverse functions or bi-univalent functions.
KeywordsFunctions of Bounded Positive Real PartFekete-SzegöProblemInverse FunctionsBi-Univalent Functions
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