International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 619-623
doi:10.1155/S0161171291000856
Some sufficient conditions for univalence
Sukhjit Singh
Department of Mathematics, Punjabi University, Patiala 147002, (Punjab), India
Abstract
A new subclass R(α), 0≤α≤1, of the class St(1/2) the class of starlike functions of order 1/2 is introduced and it is shown that R(α) is closed with respect to the Hadamard product of analytic functions. Some sufficient conditions for the normalized regular functions to be univalent in the unit disk E are given.