@Article{JCM-23-383,
author = {},
title = {On Coefficient Polynomials of Cubic Hermite-Pad\'E Approximations to the Exponential Function},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {4},
pages = {383--392},
abstract = { The polynomials related with cubic Hermite-Pad\'e approximation to the exponential function are investigated which have degrees at most $n,m,s$ respectively. A connection is given between the coefficients of each of the polynomials and certain hypergeometric functions, which leads to a simple expression for a polynomial in a special case. Contour integral representations of the polynomials are given. By using of the saddle point method the exact asymptotics of the polynomials are derived as $n,m,s$ tend to infinity through certain ray sequence. Some further uniform asymptotic aspects of the polynomials are also discussed. },
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8824.html}
}