On asymptotic form of the Hermite-Pade approximations for a system of Mittag-Leffler functions
Using the Laplace method we study asymptotic properties of Hermite integrals. In particular, we determine the asymptotic form of diagonal Hermite-Pade approximations for the system of exponents. Similar results are proved for the system of confluent hypergeometric functions. The obtained theorems supplement the known results by F.Wielonnsky, A.I.Aptekarev and other authors.