Some fractional-calculus results involving the generalized Lommel–Wright and related functions Original Research Article

In many recent works, several authors have demonstrated the usefulness of fractional-calculus operators in many different directions. The main object of this work is to present a number of key results for the generalized Lommel–Wright and related functions involving the Riemann–Liouville, the Weyl, and such other fractional-calculus operators as those based upon the Cauchy–Goursat Integral Formula. Various particular cases and consequences of our main fractional-calculus results are also considered.