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Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions

  • S. P. Goyal EMAIL logo and Rakesh Kumar
Published/Copyright: July 29, 2015
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 65 Issue 3

Abstract

In the present paper, we obtain the estimates on initial coefficients of normalized analytic function f in the open unit disk with f and its inverse g = f−1 satisfying the conditions that zf′(z)/f(z) and zg′(z)/g(z) are both quasi-subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are established.

References

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Received: 2012-3-22
Accepted: 2012-10-4
Published Online: 2015-7-29
Published in Print: 2015-6-1

© Mathematical Institute Slovak Academy of Sciences

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  1. Fuzzy Pseudo Subalgebras and Ideals of Pseudo D-Algebras
  2. Five Curious Congruences Modulo p2
  3. On the Hybrid Mean Value Involving Dedekind Sums and Kloosterman Sums
  4. Constructing New Crossed Group Categories Over Weak Hopf Group Algebras
  5. Generalization of Hilbert Inequality with Some Parameters
  6. Some Applications of Differential Subordination of p-Valent Functions
  7. Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions
  8. On Properties of Entire Solutions of Difference Equations and Difference Polynomials
  9. On the Ψ-Strong Stability of Nonlinear Lyapunov Matrix Differential Equations
  10. On the Existence of Solutions of Ordinary Differential Equations in Banach Spaces
  11. Global Dynamics of a Delayed n + m-Species Competition Predator-Prey System on Time Scales
  12. Comparison Of (G′/G)-Methods for Finding Exact Solutions of the Drinfeld-Sokolov System
  13. A Generalization of Cyclic Amenability of Banach Algebras
  14. n-Weak Module Amenability of Triangular Banach Algebras
  15. On a Class of Operator-Differential Equations of the Third Order With Multiple Characteristics on the Whole Axis in the Weighted Space
  16. Optimality Conditions for Vector Equilibrium Problems with Set-Valued Mappings and Cone Constraints
  17. Classification of the Blaschke Isoparametric Hypersurfaces in Lorentzian Space Forms
  18. A New Proof of a Theorem on Long Cycles
https://doi.org/10.1515/ms-2015-0038

Articles in the same Issue

  1. Fuzzy Pseudo Subalgebras and Ideals of Pseudo D-Algebras
  2. Five Curious Congruences Modulo p2
  3. On the Hybrid Mean Value Involving Dedekind Sums and Kloosterman Sums
  4. Constructing New Crossed Group Categories Over Weak Hopf Group Algebras
  5. Generalization of Hilbert Inequality with Some Parameters
  6. Some Applications of Differential Subordination of p-Valent Functions
  7. Coefficient Estimates and Quasi-Subordination Properties Associated with Certain Subclasses of Analytic and Bi-Univalent Functions
  8. On Properties of Entire Solutions of Difference Equations and Difference Polynomials
  9. On the Ψ-Strong Stability of Nonlinear Lyapunov Matrix Differential Equations
  10. On the Existence of Solutions of Ordinary Differential Equations in Banach Spaces
  11. Global Dynamics of a Delayed n + m-Species Competition Predator-Prey System on Time Scales
  12. Comparison Of (G′/G)-Methods for Finding Exact Solutions of the Drinfeld-Sokolov System
  13. A Generalization of Cyclic Amenability of Banach Algebras
  14. n-Weak Module Amenability of Triangular Banach Algebras
  15. On a Class of Operator-Differential Equations of the Third Order With Multiple Characteristics on the Whole Axis in the Weighted Space
  16. Optimality Conditions for Vector Equilibrium Problems with Set-Valued Mappings and Cone Constraints
  17. Classification of the Blaschke Isoparametric Hypersurfaces in Lorentzian Space Forms
  18. A New Proof of a Theorem on Long Cycles
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