Asymptotics for Hermite-Padé approximants associated with the Mittag-Leffler functions

DOI10.1134/S1995080220110232zbMath1456.30066OpenAlexW3117389174MaRDI QIDQ828187

E. P. Kechko, A. P. Starovoitov

Publication date: 8 January 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220110232

zbMATH Keywords

hypergeometric functionsMittag-Leffler functionsHermite-Padé approximationexponential system

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21)

Cites Work

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• On the conjecture of Meinardus on rational approximation of \(e^ x\), II
• On some properties of Hermite-Padé approximants to an exponential system
• Hermite-Padé approximants of the Mittag-Leffler functions
• Padé approximations for the system \(\{_ 1F_ 1(1,c;\lambda_ i z)\}\) \((i=1,\dots ,k)\)
• Asymptotics for quadratic Hermite-Padé polynomials associated with the exponential function
• The asymptotic form of the Hermite-Padé approximations for a system of Mittag-Leffler functions
• Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach
• Asymptotic distributions of zeros of quadratic Hermite-Padé polynomials associated with the exponential function
• Type II Hermite-Padé approximation to the exponential function
• Hermite-Padé approximation of exponential functions
• Padé approximants of the Mittag-Leffler functions
• Elementary Mathematics from a Higher Standpoint

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