## 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.

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## Acknowledgements

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

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Abirami, C., Magesh, N., Yamini, J. *et al.* Horadam Polynomial coefficient estimates for the classes of \(\lambda \)–bi-pseudo-starlike and Bi-Bazilevič Functions.
*J Anal* (2020). https://doi.org/10.1007/s41478-020-00224-2

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### 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