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Certain subclasses of \(\lambda \)-pseudo bi-univalent functions with respect to symmetric points associated with the Gegenbauer polynomial

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Abstract

In this article, we introduce and investigate two new subclasses of \(\lambda \)-pseudo bi-univalent functions with respect to symmetric points in the open unit disk \({\mathbb {U}}\) defined by means of Gegenbauer polynomial. Coefficient bounds and Fekete–Szegö inequalities for functions belong to these subclasses are obtained. Furthermore, several new special cases upon specializing the parameters involved of our results are pointed out which are new and not discussed sofar.

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Authors and Affiliations

  1. Faculty of Science, Taibah University, Medina, Saudi Arabia

    Adnan Ghazy Al Amoush

  2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamilnadu, 632014, India

    Gangadharan Murugusundaramoorthy

Authors
  1. Adnan Ghazy Al Amoush
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  2. Gangadharan Murugusundaramoorthy
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Correspondence to Adnan Ghazy Al Amoush.

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Al Amoush, A.G., Murugusundaramoorthy, G. Certain subclasses of \(\lambda \)-pseudo bi-univalent functions with respect to symmetric points associated with the Gegenbauer polynomial. Afr. Mat. 34, 11 (2023). https://doi.org/10.1007/s13370-023-01051-x

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