Abstract
Abstract 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.
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