Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2017; 32(4): 971-977

Online first article July 6, 2017      Printed October 31, 2017

https://doi.org/10.4134/CKMS.c170006

Copyright © The Korean Mathematical Society.

Inclusion properties regarding classes of meromorphic p-valent functions, involving the operator $J_{p,\lambda}^n$

Petric\u a Dicu, Alina Totoi

University ``Lucian Blaga" of Sibiu, University ``Lucian Blaga" of Sibiu

Abstract

For $p\in\NN^*$ let $\Sigma_{p,0}$ denote the class of meromorphic functions of the form $g(z)={\frac{1}{z^p}}+a_0+a_1z+\cdots,\,z\in U$. In the present paper we introduce a new subclass of the class $\Sigma_{p,0}$, using the subordination and the operator $J_{p,\lambda}^n$. This class will be denoted by $B^n_{p,\lambda}(\alpha,h)$ and we study some inclusion properties of this subclass.

Keywords: meromorphic functions, multiplier transformations, sub\-ordina\-tion

MSC numbers: 30C45