Abstract: The key problem in heating and instability studies in plasma physics is to obtain dispersive equation and its solution. This paper presents the general dispersive equation and corresponding procedure, when electromagnetic wave nearly poloidally impinges on anisotropic, weakly relativistic Maxwellian plasma with inhomogeneous density in nonuniform magnetic field (such as plasma in TOKAMAK). The double index function Fij, significant in plasma physics, was expanded as single index function F1, and then the values were calculated by means of dispersive function. It was also pointed in the paper that the severe error involved in the calculation of Fij from F11 successively prevents the-technique of recurrence relation from being put into practice.