The object ofthis article is to evaluate two unified fractional integrals involving the product of generalized H-function due to Inayat Hussain, Appell function F1 and a general class of multivariable polvnomials due to Srivastava and Garg. These integrals are further applied in proving two theorems on Saigo - Maeda operators of fractional integration. The results obtained provide unification and extension of the results given earlier by Saigo and Raina; Kilbas and Saigo; Saigo and Kilbas; Saxena and Saigo;
etc. The results are obtained in a compact form and are useful in preparing the tables of RiemannLiouville operator. Weyl operator. Erdelyi - Kober operators. Saigo Operator and Saigo and Maeda Operators of fractional calculus.
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