Coefficient bounds for biholomorphic mappings which have a parametric representation

AbstractLet B be the unit ball in Cn with respect to an arbitrary norm ‖⋅‖ and let f(z,t) be a g-Loewner chain such that z=0 is a zero of order k+1 of e−tf(z,t)−z for each t⩾0. In this paper, the authors obtain coefficient bounds of mappings in Sg,k+10(B). These results generalize the related works of Hamada, Honda and Kohr