Abstract
In this work we give sufficient conditions for hyponormality of Toeplitz operators on weighted Bergman spaces when the analytic part of the symbol is a monomial and the conjugate part is a polynomial We also adapt a function theoretic method, due to P. Ahern and Z. Cuckovic (1996), to a class of Toeplitz operators on weighted Bergman spaces to get an extension of the necessary condition for hyponormality.