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

Lei Shi, Bakhtiar Ahmad, Nazar Khan, Muhammad Ghaffar Khan, Serkan Aracı, Wali Khan Mashwani, Bilal Khan

2021Symmetry34 citationsDOIOpen Access PDF

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.

Topics & Concepts

Meromorphic functionConvexitySubclassMathematicsDistortion (music)Convex functionDifferential operatorDifferential (mechanical device)Dual (grammatical number)Class (philosophy)Operator (biology)Regular polygonPure mathematicsAnalytic functionMathematical analysisComputer sciencePhysicsGeometryTranscription factorLiteratureFinancial economicsThermodynamicsImmunologyAntibodyArtRepressorBiologyAmplifierBandwidth (computing)EconomicsBiochemistryArtificial intelligenceChemistryComputer networkGeneAnalytic and geometric function theoryHolomorphic and Operator Theory
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