Some applications of differential subordinations in the geometric function theory

Janusz Sokół
2013 Journal of Inequalities and Applications  
Let A denote the class of functions f , which are analytic in the open unit disc and normalized by f (0) = f (0) -1 = 0. We investigate the connection of the quantity z(f (z) -1)/f (z) with f (z)/z. Obtained results are the extensions of those presented by Tuneski and Obradović (Comput. Math. Appl. 62:3438-3445, 2011). Moreover, we solve the open problems posed in the paper above. MSC: Primary 30C45; secondary 30C80
doi:10.1186/1029-242x-2013-389 fatcat:ynbhvoizcvg3nbsnqmtv6vpi6i