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January 1, 2022International journal of nonlinear analysis and applications

Coefficient bounds for a new family of bi-univalent functions associated with $(U,V)$-Lucas polynomials

Timilehin Gideon Shaba Abbas Kareem Wanas

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Abstract

The aim of this paper is to use (U,V)-Lucas polynomials to introduce and study a new family of holomorphic and bi-univalent functions defined in the open unit disk which involve q-derivative operator. We investigate upper bounds for the Taylor-Maclaurin coefficients |d2| and |d3| and Fekete- Szego problem for functions belongs to this new family. Some interesting consequences of the results established here are indicated.

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Cite This Study

Shaba et al. (2022) studied this question.

synapsesocial.com/papers/6a11e9dc0db2e61b4b8e1c1f https://doi.org/10.22075/ijnaa.2021.23927.2639

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