© 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Starting with some famous inequalities for unimodular bounded functions proved by E. Landau and O. Szász, we derive similar inequalities ...

Let Ω and ∏ be two simply connected proper subdomains of the complex plane ℂ. We are concerned with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω),z ∈ Ω, of the ...