Abstract

Fractional calculus and special functions have contributed a lot to the science and engineering. In view of great importance and usefulness of fractional calculus operators in different directions, we derive the images of the product of certain special function under the multiple Erdélyi - Kober operator due to Galué et al. The result obtained are general in character and includes, as special cases, the result for Riemann -Liouville operator, Erdélyi - Kober operator and Saigo operator etc. involving the product of certain special function of general argument.