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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 59–68 (Mi ivm8930)  
This article is cited in 9 scientific papers (total in 9 papers)

On asymptotic form of the Hermite–Pade approximations for a system of Mittag-Leffler functions

A. P. Starovoitov

Chair of Differential Equations and Function Theory, F. Skorina Gomel State University, 104 Sovetskaya str., Gomel, 246019 Republic of Belarus
Full-text PDF (235 kB) Citations (9)
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Abstract: 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.
Keywords: Hermite integrals, joint Pade approximations, Hermite–Pade approximations, asymptotic equalities.
Received: 17.03.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 9, Pages 49–56
DOI: https://doi.org/10.3103/S1066369X14090060
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: A. P. Starovoitov, “On asymptotic form of the Hermite–Pade approximations for a system of Mittag-Leffler functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 59–68; Russian Math. (Iz. VUZ), 58:9 (2014), 49–56
Citation in format AMSBIB
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\by A.~P.~Starovoitov
\paper On asymptotic form of the Hermite--Pade approximations for a~system of Mittag-Leffler functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 59--68
\mathnet{http://mi.mathnet.ru/ivm8930}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 49--56
\crossref{https://doi.org/10.3103/S1066369X14090060}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906273462}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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