Convolution Conditions for Spirallikeness and Convex Spirallikeness of Certain Meromorphic $p$-valent Functions

摘要

In the present investigation, the authors derive necessary and sufficient conditions for spirallikeness and convex spirallikeness of a suitably normalized meromorphic p-valent function in the punctured unit disk, using convolution. Also we give an application of our result to obtain a convolution condition for a class of meromorphic functions defined by a linear operator.