Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions
Muhammad Ghaffar Khan, Bakhtiar Ahmad, Nazar Khan, Wali Khan Mashwani, Sama Arjika, Bilal Khan, Ronnason Chinram
Abstract
In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.
Topics & Concepts
MathematicsSubclassType (biology)Conic sectionPoisson distributionClass (philosophy)Distortion (music)Distribution (mathematics)Convex functionRegular polygonPure mathematicsCombinatoricsMathematical analysisStatisticsComputer scienceGeometryAntibodyAmplifierArtificial intelligenceBiologyComputer networkBandwidth (computing)ImmunologyEcologyAnalytic and geometric function theoryHolomorphic and Operator TheoryMathematical functions and polynomials