Some decomposition formulas associated with the Lauricella function F-A((r)) and other multiple hypergeometric functions

摘要

By making use of some rather elementary techniques based upon certain inverse pairs of symbolic operators, the authors investigate several decomposition formulas associated with Lauricella's hypergeometric function F-A((r)) in r variables (r = 2, 3, 4....) and also with other multiple hypergeometric functions. Alternative derivations of some of these decomposition formulas by means of (for example) integral representations are also indicated. (C) 2005 Elsevier Ltd. All rights reserved.