Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast ...

American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 (17 pages) The elementary functions of a complex variable z are those functions built up from the rational functions of z by ...

In this paper, we will obtain new algebraic transformations of the 2 F 1 -hypergeometric functions. The main novelty in our approach is the interpretation of identities among 2 F 1 -hypergeometric ...