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A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator

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Abstract

In this study, by using Lucas polynomials, subordination and q-analogue of Noor integral operator, we will introduce an interesting new class \(Q^{q,\mu }(\tau ,\alpha ;x)\) of bi-univalent functions. Also we will obtain (P, Q)-Lucas polynomial coefficient estimates and Fekete–Szegö inequalities for this new class.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Science, Umuttepe Campus, Kocaeli University, Kocaeli, Turkey

    Arzu Akgül

  2. Department of Management, Faculty of Economics and Administrative Sciences, Dicle University, Diyarbakır, Turkey

    F. Müge Sakar

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  1. Arzu Akgül
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Akgül, A., Sakar, F.M. A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator. Afr. Mat. 33, 87 (2022). https://doi.org/10.1007/s13370-022-01016-6

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