Some Relations Involving l+1 Generalized Hypergeometric Functions (sub k+1)F(subk)(...;z) and Powers of z and 1-z

摘要

The central functions of a previously obtained transformation generalizing the well-known expression for Gauss' hypergeometric function 2F1(...;z) in terms of two different functions 2F1(...;1 - z), are expressed in terms of generalized hypergeometric functions. The resulting relations involve l + 1 (less than or equal to k + 1) different functions k=1Fk(...;z) and powers of z and 1 - z. (Copyright (c) 1996 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)