Journal of the
Korean Mathematical Society JKMS

In this paper, subordination results of analytic function $f \in \mathcal{A}_{p}$ involving linear operator $\mathcal{K}_{c, p}^{\delta, \lambda}$ 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 $\mathcal{K}_{c, p}^{\delta, \lambda}$ are investigated.

Keywords: multivalent functions, differential subordination, Komatu integral operator, Gauss hypergeometric function

MSC numbers: 30C45, 33C05