@article{BSMF_1994__122_4_553_0, author = {Duverney, Daniel}, title = {Approximants de {Pad\'e} et $U$-d\'erivation}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {553--570}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {122}, number = {4}, year = {1994}, doi = {10.24033/bsmf.2246}, mrnumber = {95i:41028}, zbl = {0810.05009}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2246/} }
TY - JOUR AU - Duverney, Daniel TI - Approximants de Padé et $U$-dérivation JO - Bulletin de la Société Mathématique de France PY - 1994 SP - 553 EP - 570 VL - 122 IS - 4 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2246/ DO - 10.24033/bsmf.2246 LA - fr ID - BSMF_1994__122_4_553_0 ER -
%0 Journal Article %A Duverney, Daniel %T Approximants de Padé et $U$-dérivation %J Bulletin de la Société Mathématique de France %D 1994 %P 553-570 %V 122 %N 4 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2246/ %R 10.24033/bsmf.2246 %G fr %F BSMF_1994__122_4_553_0
Duverney, Daniel. Approximants de Padé et $U$-dérivation. Bulletin de la Société Mathématique de France, Tome 122 (1994) no. 4, pp. 553-570. doi : 10.24033/bsmf.2246. http://archive.numdam.org/articles/10.24033/bsmf.2246/
[1] Legendre Polynomials and Irrationality, J. Reine Angew. Math., t. 318, 1980, p. 137-155. | MR | Zbl
and . -[2] Padé Approximants for the q-Elementary Functions, Constr. Approx., t. 4, 1988, p. 391-402. | MR | Zbl
. -[3] On the Irrationality of ∑(1/(qn + r)), J. Number Theory, t. 37, 1991, p. 253-259. | MR | Zbl
. -[4] Padé-type Approximation and General Orthogonal Polynomials. - Birkhäuser, 1980. | MR | Zbl
. -[5] Padé Approximations, Handbook of Numerical Analysis. - P.G. Ciarlet and J.L. Lions ed., North Holland, 1992.
and . -[6] U-Dérivation. - Annales Fac. Sci. Toulouse, série 6, vol II, fasc. 3, 1993, p. 323-335. | Numdam | MR | Zbl
. -[7] q-Hypergeometric Functions and Applications, Chichester, 1983. | Zbl
. -[8] Basic Hypergeometric Series. - Cambridge University Press, 1990. | MR | Zbl
and . -[9] The Special Functions and their Approximations. - Academic Press, 1969. | Zbl
. -[10] Sur les développements en fractions continues de la fonction F(h, 1, h′, u) et la généralisation de la théorie des fonctions sphériques, C.R. Acad. Sci. Paris, t. 141, 1905, p. 819-821. | JFM
. -[11] Beiträge zur Theorie der durch die Heinesche Reine..., J. Reine Angew. Math., t. 70, 1869, p. 258-281. | JFM
. -[12] Rationale Approximation des q-Analogons der Exponentialfunktion und Irrationalitätsaussagen für diese Funktion, Archiv Math., t. 44, 1985, p. 59-64. | MR | Zbl
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