Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers
G. Murugusundaramoorthy, K. Vijaya
Abstract
The goal of this article is to contemplate coefficient estimates for a new class of analytic functions f associated with generalized telephone numbers to originate certain initial Taylor coefficient estimates and Fekete–Szegö inequality for f in the new function class. Comparable results have been attained for the function f−1. Further application of our outcomes to certain functions demarcated by convolution products with certain normalized analytic functions in the open unit disk are specified, and we obtain Fekete–Szegö variations for this new function class defined over Poisson and Borel distribution series.
Topics & Concepts
MathematicsConvolution (computer science)Analytic functionClass (philosophy)Series (stratigraphy)Function (biology)Poisson distributionPoisson summation formulaPure mathematicsTaylor seriesDistribution (mathematics)Mathematical analysisApplied mathematicsStatisticsFourier transformComputer scienceEvolutionary biologyArtificial neural networkPaleontologyBiologyArtificial intelligenceMachine learningAnalytic and geometric function theoryHolomorphic and Operator TheoryDifferential Equations and Boundary Problems