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Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions

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By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In… Click to show full abstract

By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass.

Keywords: close convex; meromorphic multivalent; multivalent close; convex functions; coefficient estimates

Journal Title: Symmetry
Year Published: 2021

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