Convolution properties for certain subclasses of meromorphic p-valent functions by means of cassinian ovals

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS（2023）

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摘要

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

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关键词

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

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