Asymptotic properties of Hermite''s polynomials
The article deals with asymptotic properties of diagonal Hermite-Pade's approximants of type I for the exponential system {e <sup>λjz</sup>} <sup>k</sup> <sub>j-0</sub> with arbitrary real <i>λ</i> <sub>0</sub>, <i>λ</i> <sub>1</sub>,..., <i>λ</i> <sub>k</sub>. The proved theorems complement the known results of P. Borwein, F. Wielonsky, and A. P. Starovoitov.