Early coefficients of the inverse of a regular convex function

1982/06/01 by Richard J. Libera, Eligiusz J. Złotkiewicz · 6 citations
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Algebraic and Geometric Analysis

paper · doi:10.1090/s0002-9939-1982-0652447-5

Abstract

Using known properties of functions of positive real part it is shown that the first seven coefficients of the inverse of a regular univalent function mapping the disk onto a convex region are bounded by 1.

Cited by

• THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS
• SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS
• SECOND HANKEL DETERMINANT FOR LOGARITHMIC INVERSE COEFFICIENTS OF CONVEX AND STARLIKE FUNCTIONS
• Higher-Order Schippers-Schwarzian Derivatives for Non-Circular Starlike Functions
• Coefficient Estimates for Inverses of Starlike Functions of Positive Order
• The third Hankel determinant for starlike and convex functions associated with lune

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