About the convergence rate Hermite – Pade approximants of exponential functions

This paper studies uniform convergence rate of Hermite\,--\,Pad\'e approximants (simultaneous Pad\'e approximants) $\{\pi^j_{n,\overrightarrow{m}}(z)\}_{j=1}^k$ for a system of exponential functions $\{e^{\lambda_jz}\}_{j=1}^k$, where $\{\lambda_j\...

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Published in:	Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Main Authors:	Starovoitov, Alexander Pavlovich, Kechko, Elena P.
Format:	Article
Language:	English
Published:	Saratov State University 2021-05-01
Subjects:	hermite integrals hermite – pade approximants system of exponential functions asymptotic equality saddle-point method
Online Access:	https://mmi.sgu.ru/sites/mmi.sgu.ru/files/text-pdf/2021/05/162-172starovoitov-kechko.pdf