, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1970.
, Aspects of Mathematics, E13. Friedr. Vieweg & Sohn, 1989.
Séries Gevrey de type arithmétique I. Théorèmes de pureté et de dualité, Annals of Math, vol.151, pp.705-740, 2000. ,
Une introduction aux motifs (motifs purs, motifs mixtes, périodes), Panoramas et Synthèses 17, Soc. Math. de France, 2004. ,
, Special Functions, Encyclopedia of mathematics and its applications 71, 1999.
The asymptotic expansion of integral functions defined by generalized hypergeometric series, Proc. London Math. Soc, vol.5, pp.59-116, 1907. ,
Differential equations associated with nonarithmetic Fuchsian groups, J. Lond. Math. Soc, vol.81, issue.1, pp.65-90, 2010. ,
Differential operators with nilpotent p-curvatures, Amer. J. Math, vol.112, pp.749-786, 1990. ,
On the values of G-functions, Commentarii Math. Helv, vol.29, pp.313-341, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-02118269
Arithmetic theory of E-operators, Journal de l'École polytechnique -Mathématiques, vol.3, pp.31-65, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01010964
Exponential motives, 268 pages, 2019. ,
Hypergeometric Siegel functions and E-functions, Math. Notes, vol.29, pp.3-14, 1981. ,
On the Siegel conjecture for second-order homogeneous linear differential equations, Math. Notes, vol.75, pp.513-529, 2004. ,
On the structure of the set of E-functions satisfying linear differential equations of second order, Math. Notes, vol.78, pp.304-319, 2005. ,
Some finite summation theorems and an asymptotic expansion for the generalized hypergeometric series, J. Math. Anal. Appl, vol.40, pp.278-285, 1972. ,
Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin, Publ. Math. IHES, vol.39, pp.175-232, 1970. ,
An example of an arithmetic Fuchsian group, J. reine angew. Math, vol.473, pp.69-85, 1996. ,
, Séries formelles provenant de systèmes différentiels linéaires méromorphes, pp.69-100, 1991.
, Mathematical functions and their approximations, p.584, 1975.
The Chowla-Selberg Formula, J. Number Theory, vol.17, pp.226-245, 1983. ,
, Séries Divergentes et Théories Asymptotiques, Panoramas et Synthèses, vol.21, 1993.
A new proof of Galochkin's characterization of hypergeometric G-functions, vol.12, 2018. ,
Siegel's problem for E-functions of order, vol.2, 2016. ,
, Über einige Anwendungen diophantischer Approximationen, vol.1, pp.209-266, 1929.
, Transcendental Numbers, Annals of Mathematical Studies, 1949.
A note on the asymptotic expansion of generalized hypergeometric functions, Analysis and Applications, vol.12, pp.107-115, 2014. ,
The asymptotic expansion of the generalized hypergeometric function, Proc. London Math. Soc, vol.46, pp.389-408, 1940. ,
Keywords: Hypergeometric series, Asymptotic expansions, Siegel's E-and G-functions, MSC, vol.40700, pp.33-48 ,
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