Certain subclasses of meromorphic multivalent q-starlike and q-convex functions

In this paper, we extend the idea of q -derivative (or q -difference) operator for meromorphic p -valent functions and introduce certain new subclasses of meromorphic multivalent q -starlike and q -convex functions. We investigate subordination properties, coefficient inequalities, convolution properties and integral representations. We also derive sufficient conditions for meromorphic multivalent q -starlike and q -convex functions and highlight some known consequence of our main results.