Generalized asymmetric of Bessel–Gaussian beams of the continuous order

The new solutions of the parabolic equation featuring the generalized asymmetric of Bessel–Gaussian beams of the continuous order are offered. They are characterized by five free continuous parametres and possess a spiral wavefront. Restrictions on these parametres at which explored fractional beams transfer terminating power are discovered. Pictorial modeling of such beams which confirms the main analytical calculations is fulfilled.