Pál Kupán - Academia.edu (original) (raw)

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Papers by Pál Kupán

Research paper thumbnail of The exact order of starlikeness of uniformly convex functions

Computers & Mathematics with Applications, 2011

A Briot-Bouquet differential subordination is used to determine the exact order of starlikeness f... more A Briot-Bouquet differential subordination is used to determine the exact order of starlikeness for the class of uniformly convex functions. In the solution we use some integral representations, which offer the possibility of correct estimation.

Research paper thumbnail of About the radius of convexity of some analytic functions

In this paper we prove a general result regarding the radius of convexity for different particula... more In this paper we prove a general result regarding the radius of convexity for different particular functions. The method of convolutions is used. The results are applied to deduce sharp bounds regarding functions, which satisfy differential subordinations.

Research paper thumbnail of The exact order of starlikeness of uniformly convex functions

Computers & Mathematics with Applications, 2011

A Briot-Bouquet differential subordination is used to determine the exact order of starlikeness f... more A Briot-Bouquet differential subordination is used to determine the exact order of starlikeness for the class of uniformly convex functions. In the solution we use some integral representations, which offer the possibility of correct estimation.

Research paper thumbnail of About the radius of convexity of some analytic functions

In this paper we prove a general result regarding the radius of convexity for different particula... more In this paper we prove a general result regarding the radius of convexity for different particular functions. The method of convolutions is used. The results are applied to deduce sharp bounds regarding functions, which satisfy differential subordinations.

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