## 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)

Zbl 0414.10032