On an exact analytical solution in Weibull probability distribution domain

The variation in wind speed are best described by the Weibull probability distribution function. In this paper, the problem of finding an exact analytical closed-form solution of some families of transcendental equations, which describe the Weibull probability distribution, is studied in some detail, by the Special Trans Functions Theory (STFT). A novel STFT mathematical approach by an analytical closed-form solution is presented. Structure of the STFT exact solutions, numerical results and graphical simulations confirm the validity and base principle of the STFT.