A NONVANISHING LEMMA FOR CERTAIN PADÉ APPROXIMATIONS OF THE SECOND KIND
2011 ◽
Vol 07
(08)
◽
pp. 1977-1997
Keyword(s):
We prove the nonvanishing lemma for explicit second kind Padé approximations to generalized hypergeometric and q-hypergeometric functions. The proof is based on an evaluation of a generalized Vandermonde determinant. Also, some immediate applications to the Diophantine approximation is given in the form of sharp linear independence measures for hypergeometric E- and G-functions in algebraic number fields with different valuations.
Keyword(s):
1991 ◽
Vol 1991
(416)
◽
pp. 187-194
◽
Keyword(s):
2012 ◽
Vol 27
(22)
◽
pp. 1250112