Amit Soni, Prem Pratap Pratap Vyas, Shashi Kant

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In the present paper we introduce two new sub-categories MS∗q,η(p, s; d) and MK q,η(p, s; d) for a variety of meromorphic operations using a q-derivative operator defined on a perforated unit disk. We use Cassinian Oval √1 + dz with d ∈ (0, 1] as a subordinant function. We also find the necessary and sufficient conditions for the activities of these clauses.


Meromorphic $p$-Valent functions, Hadamard product (or convolution), Subordination between analytic functions, $Q$-derivative operator, Cassinian ovals

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