@article{tjant2017513,
author={Hammam, Abdallah},
title={A New Pad¨¦ Approximant for the Appell Hypergeometric Function F1},
journal={Turkish Journal of Analysis and Number Theory},
volume={5},
number={1},
pages={13--17},
year={2017},
url={http://pubs.sciepub.com/tjant/5/1/3},
issn={2333-1232},
abstract={In this work, we present a simple method for computing the first Appell function <i>F</i><SUB>1</SUB>(<i>a</i>,<i>b</i>,<i>b</i>¡¯;<i>c</i>;<i>x</i>,<i>y</i>), in some particular case. We use a new definition of the general multivariate Pad¨¦ approximant which allows us to get the explicit expression of the denominator polynomial. Our approach seems to give a better precision than the Taylor¡¯s expansion, especially near the border of the convergence area.},
doi={10.12691/tjant-5-1-3}
publisher={Science and Education Publishing}
}