Decomposition formulas for some triple hypergeometric functions

[摘要] With the help of some techniques based upon certain inverse pairs of symbolic operators, the authors investigate several decomposition formulas associated with Srivastava's hypergeometric functions H-A, H-B and H-C in three variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By means of these operator identities, as many as 15 decomposition formulas are then found, which express the aforementioned triple hypergeometric functions in terms of such simpler functions as the products of the Gauss and Appell hypergeometric functions. Other closely-related results are also considered briefly. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] decomposition formulas;Srivastava's triple hypergeometric functions;multiple hypergeometric functions;inverse pairs of symbolic operators;Gauss hypergeometric function;Appell's hypergeometric functions;Humbert's continent hypergeometric functions;generalized hypergeometric function;integral;representations