Extremal property of the Hermite-Pade approximations of exponential functions
In this article we study the extremal properties of the Hermite-Pade approximations of type I for the exponential system {e<sup>1pz</sup>}<sup>k</sup><sub>p-0</sub> with different arbitrary real and complexes λ<sub>0</sub>,λ<sub>1</sub>,<sub>....</sub>,λ<sub>k</sub>. The theorems proved complement the known results of P. Borwein, F. Wielonsky, K. Driver.