2 8 Se p 20 01 Contiguous relations of hypergeometric series

Abstract The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters). In the paper several properties of contiguous relations for general triples of hypergeometric (and q-hypergeometric… CONTINUE READING