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Padé approximations to the generalized hypergeometric functions. I. (English) Zbl 0434.10023

##### 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)