Certain fractional derivative formulae involving the product of a general class of polynomials and the multivariable \(H\)-function (Q1860615)

In this interesting paper the authors study fractional integral operators whose kernels involve the Gauss hypergeometric function. They obtain images of three functions that involve a product of a general class of polynomials and the multivariable \(H\)-function under these fractional operators. The main results established in the paper are unified in nature and provide extensions of several known results. A fractional derivative formula involving the product of the Hermite polynomials, the Laguerre polynomials and the product of \(r\) different Whittaker functions has been given as special cases of the first main result of the paper.