ON CERTAIN FORMULAS FOR THE MULTIVARIABLE HYPERGEOMETRIC FUNCTIONS
Acta mathematica Universitatis Comenianae, Tome 64 (1995) no. 1
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We present relatively simple and direct proofs of the integral representations established recently in Ref. 7. An algorithm is then furnished and applied to obtain new classes of integral formulas for the multivariable hypergeometric functions, thereby, providing generalizations to the results of Ref. 7. Also, an operational formula involving fractional calculus operators for an analytic function is derived and its usefulness illustrated by considering some examples.