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The main object of this work is to show how some rather elementary techniquesbased upon certain inverse pairs of symbolic operators would lead us easily toseveral decomposition formulas associated with confluent hypergeometricfunctions of two and more variables. Many operator identities involving thesepairs of symbolic operators are first constructed for this purpose. By means ofthese operator identities several decomposition formulas are found, whichexpress the aforementioned hypergeometric functions in terms of such simplerfunctions as the products of the Gauss hypergeometric functions.

Decomposition formulas associated with the multivariable confluent hypergeometric functions