On uniformly convex functions

Volume 56 / 1991

A. Goodman Annales Polonici Mathematici 56 (1991), 87-92 DOI: 10.4064/ap-56-1-87-92


We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.


  • A. Goodman

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