Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2022; 37(3): 723-734

Online first article May 13, 2022      Printed July 31, 2022

https://doi.org/10.4134/CKMS.c210196

Copyright © The Korean Mathematical Society.

Fekete-Szeg"{o} inequalities for a new general subclass of analytic functions involving the $left( p,qight)$-derivative operator

Serap Bulut

Kocaeli University

Abstract

In this work, we introduce a new subclass of analytic functions of complex order involving the $left( p,qight) $-derivative operator defined in the open unit disc. For this class, several Fekete-Szeg"{o} type coefficient inequalities are derived. We obtain the results of Srivastava extit{et al.~}cite{SR} as consequences of the main theorem in this study.

Keywords: Analytic function, univalent function, coefficient inequalities, Fekete-Szeg"{o} problem, subordination, Hadamard product (or convolution), $left( p,qight)$-derivative operator

MSC numbers: Primary 30C45