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\((\mathfrak {P}, \mathcal {Q})\)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators

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Abstract

In the discipline of geometric function theory, Lucas polynomials and other special polynomials have recently acquired traction. We establish a new class of bi-univalent functions and get coefficient estimates and Fekete–Szegö inequalities for this new class in this paper by connecting these polynomials, subordination and combination of Babalola and Opoola operator.

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Acknowledgements

The authors are very much thankful to the referees for their valuable suggestions for improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey

    Halit Orhan

  2. Department of Mathematics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria

    Timilehin Gideon Shaba

  3. Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100, Erzurum, Turkey

    Murat Çağlar

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  1. Halit Orhan
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  2. Timilehin Gideon Shaba
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  3. Murat Çağlar
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Orhan, H., Shaba, T.G. & Çağlar, M. \((\mathfrak {P}, \mathcal {Q})\)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators. Afr. Mat. 33, 11 (2022). https://doi.org/10.1007/s13370-021-00953-y

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