Several closed-forms of integral transforms employing special functions with the weight \({{e}^{-p{{\rho }^{2}}+2q{{\rho }^{2\gamma }}}} \) are investigated in this work. The propagation of Pin-like beams through turbulent oceanic and atmospheric environments is one of the many areas of mathematical physics where these integral transformations are helpful. Srivastava–Daoust multivariable hypergeometric functions are generalized Lauricella hypergeometric series that are used to express our key findings. A number of novel special examples of the evaluated integral transformations are also introduced with the aid of the relationship between the Whittaker function and other special functions.
