The Fekete-Szegö functional problems for some subclasses of m-fold symmetric bi-univalent functions
By Huo Tang, Hari M. Srivastava, Srikandan Sivasubramanian, P. Gurusamy. 2016
76 citations recorded by the source corpus.
In this paper, we introduce several new subclasses of the class of m -fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients |am+1| , |a2m+1| and Fekete-Szegö functional problems for functions in these new subclasses. The results presented in this paper improve the earlier results of Ali et al. [1], Frasin and Aouf [6], and Srivastava et al. [14] in terms of the bounds as well as the ranges of the parameter under consideration. Our results also further generalize the results of Peng et al. [19]. Mathematics subject classification (2010): Primary 30C45, 33C50; Secondary 30C80.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/cf138c42e6fc22e1d4b0f4b2efa529f3c01bc96f
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In Geometry and Topology
- Hari M. Srivastava
- Ş. Altınkaya
- S. Yalçın
- Anbhu Swaminathan
- Serap Bulut
- Srikandan Sivasubramanian
- Sevtap Sümer Eker
- Gangadharan Murugusundaramoorthy
Citations in the corpus
- Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator (2018, background): “The Fekete-Szegö functional has ∣∣∣a3 − μa22∣∣∣ since received great attention, particularly in connection with many subclasses of the class S of normalized analytic and univalent functions (see, for example, [3], [25], [31], [45], [48] and [51]).”