International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 11, Pages 641-650
doi:10.1155/S0161171202007810

The class of functions convex in the negative direction of the imaginary axis of order (α,β)

Adam Lecko

Department of Mathematics, Technical University of Rzeszów, ul. W. Pola 2, Rzeszów 35-959, Poland

Abstract

The aim of this paper is to present an analytic characterization of the class of functions convex in the negative direction of the imaginary axis of order (α,β). The method of the proof is based on Julia's lemma.