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A note on simultaneous polynomial approximation of exponential functions

A note on simultaneous polynomial approximation of exponential functions

Let α 1 , …, α m be distinct complex numbers and τ(1), …, τ( m ) be non-negative integers. We obtain conditions under which the functions form a perfect system, that is, for every set ρ(1), …, ρ( m ) of non-negative integers, there are polynomials a 1 ( …