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Faber polynomial coefficient estimates for subclass of bi-univalent functions defined by quasi-subordinate

  • Ahmad Zireh EMAIL logo , Ebrahim Analouei Adegani and Mahmood Bidkham
Published/Copyright: March 31, 2018
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 68 Issue 2

Abstract

In this paper, we use the Faber polynomial expansion to find upper bounds for |an| (n ≥ 3) coefficients of functions belong to classes HqΣ(λ,h),STqΣ(α,h) andMqΣ(α,h) which are defined by quasi-subordinations in the open unit disk 𝕌. Further, we generalize some of the previously published results.

MSC 2010: Primary 30C45; Secondary 30C50
Keywords: Bi-univalent functions; coefficient estimates; Faber polynomial expansion; quasi-subordinate

This work was supported by Shahrood University of Technology.

Communicated by Stanisława Kanas

Acknowledgement

The authors wish to sincerely thank the referee, for the careful reading of the paper and for the helpful suggestions and comments.

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Received: 2016-2-17
Accepted: 2016-5-11
Published Online: 2018-3-31
Published in Print: 2018-4-25

© 2018 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2017-0108
Keywords for this article
Bi-univalent functions; coefficient estimates; Faber polynomial expansion; quasi-subordinate

Articles in the same Issue

  2. On the family of functions with closure of graphs in the Mendez ideals
  4. The predicate completion of a partial information system
  6. On lattices of z-ideals of function rings
  8. Compactifications of partial frames via strongly regular ideals
  10. Lifting components in clean abelian ℓ-groups
  12. Invariance of nonatomic measures on effect algebras
  14. On the alexander dual of path ideals of cycle posets
  16. Generalized multiplicative derivations in 3-prime near rings
  18. Cleft extensions for quasi-entwining structures
  20. Groups with positive rank gradient and their actions
  22. Certain results on q-starlike and q-convex error functions
  24. Faber polynomial coefficient estimates for subclass of bi-univalent functions defined by quasi-subordinate
  26. Positive periodic solutions for singular high-order neutral functional differential equations
  28. A special class of functional equations
  30. Matrix mappings and general bounded linear operators on the space bv
  32. Skew-symmetric operators and reflexivity
  34. Derivatives of Hadamard type in vector optimization
  36. Cardinal functions of the hyperspace of convergent sequences
  38. Suzuki-type of common fixed point theorems in fuzzy metric spaces
  40. Second hankel determinat for certain analytic functions satisfying subordinate condition
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