The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions
K. Sanjay Kumar, Biswajit Rath, Vamshee Krishna D.
Abstract
The objective of this paper is to estimate the best possible upper bound to the third Hankel determinant for the inverse of functions with normalized conditions f (0) = 0, f ′(0) = 1 in the unit disc whose derivative has positive real part.
Topics & Concepts
MathematicsInverseBounded functionUpper and lower boundsUnit (ring theory)Derivative (finance)Hankel matrixMathematical analysisPure mathematicsGeometryMathematics educationEconomicsFinancial economicsMatrix Theory and AlgorithmsMathematical functions and polynomialsNumerical methods in inverse problems