A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q -Difference Operator

Vasile-Aurel Caus
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Vasile-Aurel Caus: Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania

Mathematics, 2025, vol. 13, issue 11, 1-19

Abstract: This paper presents a novel symmetric q -analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detailed investigation of this newly defined class of meromorphic multivalent functions is presented, highlighting key geometric characteristics, including sufficiency criteria, coefficient inequalities, distortion and growth behavior, as well as the radii of starlikeness and convexity.

Keywords: meromorphic multivalent functions; Janowski functions; symmetric q -operator functions; approximation theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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