Three Recitations on Holonomic Systems and Hypergeometric Series

When we teach calculus we have lectures and recitations. These notes are meant as “recitations” or something like “Schaum outlines” for the theory. The role of the “lectures” or “textbook” is provided by Gosper’s path-breaking paper “A Decision Procedure for Indefinite summation”, Proc. Nat. Acad. Sci. USA 75 (1978), 40-42, and by the following papers by myself and my collaborators, Gert Almkvist and Herb Wilf.