Decomposition formulas for Srivastava’s hypergeometric function HAHA on Saran functions

By using some techniques based upon certain inverse pairs of symbolic operators, the author investigates several decomposition formulas associated with Srivastava’s hypergeometric function HAHA in three variables. The operator identities involving these pairs of symbolic operators are first constructed for this purpose. By means of these operator identities, as many as ten decomposition formulas are then found, which are expressed through the aforementioned triple hypergeometric function in terms of Saran’s hypergeometric functions.