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Horadam Polynomial coefficient estimates for the classes of \(\lambda \)–bi-pseudo-starlike and Bi-Bazilevič Functions

  • C. Abirami
  • N. MageshEmail author
  • J. Yamini
  • N. B. Gatti
Original Research Paper

Abstract

In this investigation, we propose to make use of the Horadam polynomials and introduce two classes of bi-univalent functions. For functions belonging to these classes, the coefficient inequalities and the Fekete–Szegö inequalities are discussed. Some interesting remarks of the results presented here are also investigated.

Keywords

Analytic functions Bi-univalent functions Bi-pseudo-starlike functions Bi-Bazilevič Horadam polynomials Fekete-Szegö inequality 

Mathematics Subject Classification

Primary 11B 39 30C45 33C45 Secondary 30C50 33C05 

Notes

Acknowledgements

The authors are grateful to the referees for their valuable suggestions.

Compliance with ethical standards

Conflict of interest

This article was not funded. The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Forum D'Analystes, Chennai 2020

Authors and Affiliations

  1. 1.Faculty of Engineering and TechnologySRM UniversityKattankulathurIndia
  2. 2.Post-Graduate and Research Department of MathematicsGovernment Arts College for MenKrishnagiriIndia
  3. 3.Department of MathematicsGovt First Grade CollegeBangaloreIndia
  4. 4.Department of MathematicsGovernment Science CollegeChitradurgaIndia

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