Commun. Korean Math. Soc. 2024; 39(2): 461-470
Online first article April 19, 2024 Printed April 30, 2024
https://doi.org/10.4134/CKMS.c230285
Copyright © The Korean Mathematical Society.
Vanithakumari B , SARAVANAN G , Baskaran S , Sibel Yalcin
Amrita Vishwa Vidyapeetham; Amrita Vishwa Vidyapeetham; Agurchand Manmull Jain College; Bursa Uludag University
In this paper, a new subclass, $\mathcal{SC}_{\sigma}^{\mu,{p},{q}}({r},{s};x)$, of Sakaguchi-type analytic bi-univalent functions defined by $({p},{q})$-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for $|a_{2}|$ and $|a_{3}|$ are obtained. Fekete-Szeg\"{o} inequalities for the class are found. Finally, we give some corollaries.
Keywords: Analytic functions, univalent functions, bi-univalent functions, Fekete-Szeg\"{o} problem, Sakaguchi-type functions, $({p},{q})$-derivative operator, Horadam polynomials
MSC numbers: Primary 30C45, 30C15
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