A covering theorem for odd typically-real functions

E. P. Merkes
1980 International Journal of Mathematics and Mathematical Sciences  
An analytic functionf(z)=z+a2z2+...in|z|<1is typically-real ifImf(z)Imz≥0. The largest domainGin which each odd typically-real function is univalent (one-to-one) and the domain⋂f(G)for all odd typically real functionsfare obtained.
doi:10.1155/s0161171280000130 fatcat:uo5hmjoqhzbjlnozvjnxi37bzy