[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2016.53.1.147

SOME SUBORDINATION PROPERTIES OF THE LINEAR OPERATOR

PANIGRAHI, TRAILOKYA (DEPARTMENT OF MATHEMATICS SCHOOL OF APPLIED SCIENCES KIIT UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.53, no.1, 2016 , pp. 147-159 More about this Journal

Abstract

In this paper, subordination results of analytic function $f{\in}{\mathcal{A}}_p$ involving linear operator ${\mathcal{K}}^{{\delta},{\lambda}}_{c,p}$ are obtained. By applying the differential subordination method, results are derived under some sufficient subordination conditions. On using some hypergeometric identities, corollaries of the main results are derived. Furthermore, convolution preserving properties for a class of multivalent analytic function associated with the operator ${\mathcal{K}}^{{\delta},{\lambda}}_{c,p}$ are investigated.

Keywords

multivalent functions; differential subordination; Komatu integral operator; Gauss hypergeometric function;

Citations & Related Records

Reference

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