Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2022; 37(2): 567-574

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

https://doi.org/10.4134/CKMS.c210151

Copyright © The Korean Mathematical Society.

Subclasses of analytic functions defined by Lommel operator

c{S}ahsene Altinkaya, Rizwan Salim Badar, Khalida Inayat Noor

Beykent University; Comsats University Islamabad; Comsats University Islamabad

Abstract

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We use convolution techniques to define certain classes of starlike functions which are associated with Lommel operator. Some inclusion results are investigated. It is also shown that these classes are invariant under Bernardi integral operator.

Keywords: Starlike, convex, Lommel function, Bernardi integral operator

MSC numbers: Primary 30C45, 30C50

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