General Univalence Criterion Associated with thenth Derivative

Oqlah Al-Refai, Maslina Darus
2012 Abstract and Applied Analysis  
For normalized analytic functionsf(z)withf(z)≠0for0<|z|<1, we introduce a univalence criterion defined by sharp inequality associated with thenth derivative ofz/f(z), wheren∈{3,4,5,...}.
doi:10.1155/2012/307526 fatcat:j6xybxwnpjerneuknitlxllnhm