Kraut, Busenberg, and Hall have shown that the uniqueness of the additive decomposition for functions of several variables given by Bochner is due to the asymptotic properties of the summands. In this ...

For k ≥ 0, 0 ≤ γ ≤ 1, and some convolution operator g, the object of this paper is to introduce a generalized family T U p n ( g,γ,k,b,α ) of p-valently analytic functions of complex order b ∈ ℂ \ {0} ...