It is well known that the hypergeometric functions $_2F_1 (\alpha \pm 1, \beta, \gamma; t), _2F_1(\alpha, \beta \pm 1, \gamma; t), \quad _2F_1 (\alpha, \beta, \gamma \pm 1; t),$ which are continguous ...

In this paper we deal with the following problems: When do the solutions of a collection of differential equations satisfy an elementary relation, that is, when is there an equation of the form R = 0 ...