Combinations of geometric expressions implying schlichtness.
No Thumbnail Available
Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Department of Mathematics, Faculty of Science, University of Oradea, Romania
Abstract
In this short paper we prove an interesting result that certain not-linear combinations of geometric expressions of the form φ(f,f^',f^'' )+λϕ(f,f^',f^'') imply schlichtness of holomorphic functions, normalized by f(0) and f^' (0)=1, in the unit disk E={z∈ C:|z|<1}
Description
Keywords
Holomorphic functions, Schlichtness, Geometric expressions, Combinations