  We study a new method of constructing Boolean bent functions from cyclotomic
mappings. Three generic constructions are obtained by considering different
branch functions such as Dillon functions, Niho functions and Kasami functions
over multiplicative cosets and additive cosets respectively. As a result,
several new explicit infinite families of bent functions and their duals are
derived. We demonstrate that some previous constructions are special cases of
our simple constructions. In addition, by studying their polynomial forms, we
observe that the last construction provides some examples which are
EA-inequivalent to five classes of monomials, Dillon type and Niho type
polynomials.
