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(2): 455-472

Online first article March 29, 2022      Printed April 30, 2022

https://doi.org/10.4134/CKMS.c210072

Copyright © The Korean Mathematical Society.

Geometric properties on $(j,k)$-symmetric functions related to starlike and convex function

Priyabrat Gochhayat, Anuja Prajapati

Sambalpur University; Sambalpur University

Abstract

For $j=0,1,2,ldots,k-1;~~kgeq 2;~ ext{and}~-1leq B

Keywords: Analytic and univalent function, subordination, $(j,k)$-symmetric starlike and convex functions, distortion, growth, radius of starlikeness, radius of convexity, radius of strong starlikeness, radius of parabolic starlikeness, Zalcman functional, pre-Schwarzian derivative

MSC numbers: Primary 30C45

Supported by: The present work of the first author is supported by OSHEC, Government of Odisha, India. The second author acknowledges the support from INSPIRE Fellowship, DST, Government of India.