School of Mathematics & Physics, University of Lincoln
A new paper by Sandro Mattarei (University of Lincoln) and Marina Avitabile (University of Milano Bicocca) has been accepted for publication in Aequationes Mathematicae.
Abstract: We introduce a generalization of the truncated logarithm in prime characteristic , which depends on a parameter . The main motivation of this study is being an inverse, in an appropriate sense, of a parametrized generalization of the truncated exponential given by certain Laguerre polynomials. Such Laguerre polynomials play a role in a grading switching technique for non-associative algebras, previously developed by the authors, because they satisfy a weak analogue of the functional equation of the exponential series. We also investigate functional equations satisfied by motivated by known functional equations for .