Necessary and sufficient conditions for univalent functions

作者：Ali Rosihan M; Obradovic M; Ponnusamy S^*

来源：Complex Variables and Elliptic Equations, 2013, 58(5): 611-620.

DOI：10.1080/17476933.2011.599116

• coefficient inequality
• analytic
• Hadamard convolution
• univalent and starlike functions
• zeta function

Let ? be the class of analytic functions in the unit disc with the normalization f(0)=f(0)1=0. This article analyses various necessary and sufficient coefficient conditions for functions f? of the form to be univalent. We present an interesting class of univalent functions associated with the zeta function and also pose an open problem.

• 出版日期2013-5-1