Received December 11, 2023. Published online June 10, 2024.
Abstract: The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients $\vert a_2\vert$ and $\vert a_3\vert$ have also been estimated.
Keywords: analytic function; bi-univalent function; Sakaguchi type function; balancing polynomial
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Affiliations: Gunasekar Saravanan, Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai, 601103, Tamil Nadu, India, e-mail: gsaran825@yahoo.com; Sudharsanan Baskaran, Balasubramaniam Vanithakumari, Department of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai 600061, Tamil Nadu, India, e-mail: sbas9991@gmail.com, Vanithagft@gmail.com; Serap Bulut (corresponding author), Kocaeli University, Faculty of Aviation and Space Sciences, Arslanbey Campus, 41285 Kartepe-Kocaeli, Turkey, e-mail: serap.bulut@kocaeli.edu.tr
