Coefficient estimate problems for certain subclasses of analytic and bi-univalent functions

@article{Magesh2015CoefficientEP,
  title={Coefficient estimate problems for certain subclasses of analytic and bi-univalent functions},
  author={N. Magesh and V. Prameela},
  journal={Afrika Matematika},
  year={2015},
  volume={26},
  pages={465-470}
}
Motivated and stimulated especially by the work of Xu et al. (Appl Math Lett 25(6):990–994, 2012), in this paper, we introduce and discuss an interesting subclass $$\mathcal {M}^{\varphi ,\psi }_{\Sigma }(\lambda )$$MΣφ,ψ(λ) of analytic and bi-univalent functions defined in the open unit disc $$\mathbb {U}$$U. Further, we find estimates on the coefficients $$|a_2|$$|a2| and $$|a_3|$$|a3| for functions in this subclass. Many relevant connections with known or new results are pointed out. 
4 Citations

References

SHOWING 1-10 OF 15 REFERENCES
Coefficient estimates for a certain subclass of analytic and bi-univalent functions
  • 207
Certain subclasses of analytic and bi-univalent functions
  • 385
  • PDF
ON SOME CLASSES OF BI-UNIVALENT FUNCTIONS
  • 286
Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions
  • 182
  • PDF
...
1
2
...