Nous présentons une méthode générale qui permet d’obtenir des approximations simultanées de type Padé pour les fonctions exponentielles et logarithmes.
We present a general method to obtain simultaneous explicit Padé type approximations to the exponential and logarithmic functions.
Mots-clés : Padé approximants, Orthogonal polynomials, Hypergeometric series
@article{JTNB_2015__27_2_565_0,
author = {Rivoal, Tanguy},
title = {Simultaneous {Pad\'e} approximants to the {Euler,} exponential and logarithmic functions},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {565--589},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {27},
number = {2},
year = {2015},
doi = {10.5802/jtnb.914},
mrnumber = {3393167},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.914/}
}
TY - JOUR AU - Rivoal, Tanguy TI - Simultaneous Padé approximants to the Euler, exponential and logarithmic functions JO - Journal de théorie des nombres de Bordeaux PY - 2015 SP - 565 EP - 589 VL - 27 IS - 2 PB - Société Arithmétique de Bordeaux UR - http://www.numdam.org/articles/10.5802/jtnb.914/ DO - 10.5802/jtnb.914 LA - en ID - JTNB_2015__27_2_565_0 ER -
%0 Journal Article %A Rivoal, Tanguy %T Simultaneous Padé approximants to the Euler, exponential and logarithmic functions %J Journal de théorie des nombres de Bordeaux %D 2015 %P 565-589 %V 27 %N 2 %I Société Arithmétique de Bordeaux %U http://www.numdam.org/articles/10.5802/jtnb.914/ %R 10.5802/jtnb.914 %G en %F JTNB_2015__27_2_565_0
Rivoal, Tanguy. Simultaneous Padé approximants to the Euler, exponential and logarithmic functions. Journal de théorie des nombres de Bordeaux, Tome 27 (2015) no. 2, pp. 565-589. doi : 10.5802/jtnb.914. http://www.numdam.org/articles/10.5802/jtnb.914/
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