The properties of Kummer beams propagation and transformation in optical metamaterials are studied. The possibility is established and conditions are determined for unidirectional and opposite directional propagation of Kummer light beams phase and the longitudinal component of its energy flux in metamaterials. The reflection and refraction coefficients of arbitrary Kummer beam are represented as superposition of linear combinations of reflection and refraction ones of TM- and TE- polarized Kummer beams. These properties are studied in the LG (Laguerre-Gaussian) beams and in Bessel beams. The main goal is to compare these three beams and to show the Kummer´s advantage. To use these mathematical functions a Computer Algebra Software has been used, specifically Maple.