Abstract
By making use of some techniques based upon certain inverse pairs of symbolic operators, the authors investigate several decomposition formulas associated with Lauricella’s hypergeometric functions F B ( r ) , F C ( r ) , and F D ( r ) in r variables. In the three-variable case when r = 3 , some of these operational representations are constructed and applied in order to derive the corresponding decomposition formulas. With the help of these inverse pairs of symbolic operators, a total of 15 decomposition formulas are found, which are expressed as products of hypergeometric functions of the Gauss and Appell types.
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