On some properties of Hermite–Padé approximants to an exponential system

Аннотация

Extremal properties and localization of zeros of general (including nondiagonal) type I Hermite–Padé polynomials are studied for the exponential system {e^λjz}_j=0^k with arbitrary different complex numbers λ₀, λ₁,..., λ_k. The theorems proved in the paper complement and generalize the results obtained earlier by other authors.