You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
Lie Theory and Generalizations of the Hypergeometric Functions
Willard Miller, Jr.
SIAM Journal on Applied Mathematics
Vol. 25, No. 2 (Sep., 1973), pp. 226-235
Published by: Society for Industrial and Applied Mathematics
Stable URL: http://www.jstor.org/stable/2099942
Page Count: 10
Preview not available
In this paper we use the differential recurrence relations satisfied by the 2F1 and their generalizations the pFq and Lauricella functions to associate a Lie algebra (dynamical symmetry algebra) with each of these families of special functions. We demonstrate that the representation theory of the Lie algebras yields a variety of addition theorems and generating functions for the associated families. Most of the results of this survey are contained in the author's papers - but the comments on the functions FA, FB, FC are new.
SIAM Journal on Applied Mathematics © 1973 Society for Industrial and Applied Mathematics