Geodesic
On uniformly convex functions
Annales Polonici Mathematici, Tome 56 (1991) no. 1, pp. 87-92

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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.
DOI : 10.4064/ap-56-1-87-92
Keywords: univalent functions, convex functions, coefficient bounds

A. Goodman 1

1 
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A. Goodman. On uniformly convex functions. Annales Polonici Mathematici, Tome 56 (1991) no. 1, pp. 87-92. doi: 10.4064/ap-56-1-87-92

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