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The asymptotic form of the Hermite-Padé approximations for a system of mittag-leffler functions

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Abstract

We use the Laplace method for investigation of asymptotic properties of the Hermite integrals. In particular, we find asymptotic form for diagonal Hermite-Padé approximations for a system of exponents. Analogous results are obtained for a system of degenerate hypergeometric functions. These theorems supplement the well-known results of F. Wielinnsky, A. I. Aptekarev and others.

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Authors and Affiliations

  1. F. Skorina Gomel State University, ul. Sovetskaya 104, Gomel, 246019, Republic of Belarus

    A. P. Starovoitov

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  1. A. P. Starovoitov
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Original Russian Text © A.P. Starovoitov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 9, pp. 59–68.

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Starovoitov, A.P. The asymptotic form of the Hermite-Padé approximations for a system of mittag-leffler functions. Russ Math. 58, 49–56 (2014). https://doi.org/10.3103/S1066369X14090060

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