Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function
Lei Shi, H. M. Srivastava, Ayesha Rafiq, Muhammad Arif, Muhammad Ihsan
Abstract
In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function. We calculated the bounds of some initial coefficients, the Fekete–Szegö-type inequality, and the estimation of Hankel determinants of second and third order. All of these bounds were proven to be sharp.
Topics & Concepts
Exponential functionMathematicsInverseBounded functionInverse functionAnalytic functionFunction (biology)Class (philosophy)Exponential typeApplied mathematicsInverse problemMathematical analysisInequalityOrder (exchange)Pure mathematicsComputer scienceGeometryEconomicsArtificial intelligenceBiologyFinanceEvolutionary biologyAnalytic and geometric function theoryX-ray Diffraction in CrystallographyMathematical functions and polynomials