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

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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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Correspondence to N. Magesh.

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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