Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2020; 35(3): 843-854

Online first article June 2, 2020      Printed July 31, 2020

https://doi.org/10.4134/CKMS.c190344

Copyright © The Korean Mathematical Society.

Some inclusion relations of certain subclasses of harmonic univalent functions associated with generalized distribution series

Nanjundan Magesh, Saurabh Porwal, Rajavadivelu Themangani

Govt Arts College (Men); Ram Sahai Government Degree College; Voorhees College

Abstract

The purpose of this present paper is to obtain inclusion relations between various subclasses of harmonic univalent functions by using the convolution operator associated with generalized distribution series. To be more precise, we obtain such inclusions with harmonic starlike and harmonic convex mappings in the plane.

Keywords: Harmonic univalent function, harmonic starlike, harmonic convex functions, generalized distribution series

MSC numbers: Primary 30C45

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