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(P, Q)–Lucas polynomial coefficient inequalities of bi-univalent functions defined by the combination of both operators of Al-Aboudi and Ruscheweyh

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Abstract

Very recently, Lucas polynomials and other some special polynomials gained big importance in the field of geometric functions, a sub-branch of complex analysis. In the present investigation by connecting these polynomials, subordination, and the combination of Al-Aboudi and Ruscheweyh differential operators, we introduce a new class of bi univalent functions and obtain coefficient estimates and Fekete–Szegö inequalities for this new class.

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Acknowledgements

The authors would like to express their deepest appreciation to the reviewers for their valuable suggestions and comments to improve the paper.

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Authors and Affiliations

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

    Halit Orhan & Hava Arikan

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  1. Halit Orhan
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  2. Hava Arikan
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Correspondence to Halit Orhan.

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Dedicated to Prof. Dr. Hari Mohan Srivastava on the occasion of his 80th birthday.

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Orhan, H., Arikan, H. (P, Q)–Lucas polynomial coefficient inequalities of bi-univalent functions defined by the combination of both operators of Al-Aboudi and Ruscheweyh. Afr. Mat. 32, 589–598 (2021). https://doi.org/10.1007/s13370-020-00847-5

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