Chudnovsky, G. V. Padé approximations to the generalized hypergeometric functions. I. (English) Zbl 0434.10023 J. Math. Pures Appl., IX. Sér. 58, 445-476 (1979). Reviewer: G. V. Chudnovsky Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 20 Documents MSC: 11J89 Transcendence theory of elliptic and abelian functions 11J85 Algebraic independence; Gel’fond’s method 41A21 Padé approximation 33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions) Keywords:linear independence; values of generalized hypergeometric functions at rational points; dilogarithm; rational approximations to polylogarithmic functions; generalized hypergeometric functions; system of simultaneous rational approximations; Pade approximations Citations:Zbl 0414.10032 PDF BibTeX XML Cite \textit{G. V. Chudnovsky}, J. Math. Pures Appl. (9) 58, 445--476 (1979; Zbl 0434.10023) OpenURL