In this paper, we consider sequences of monic polynomials orthogonal with respect to an inner product where M∈ℝ+, and a∈ℝ−. We focus our attention on the representation of these polynomials in terms of the standard Laguerre polynomials as well as hypergeometric functions. The lowering and raising operators associated with these polynomials are obtained. The distribution of their zeros is analysed in terms of their dependence of M. Finally, some outer asymptotic properties of such orthogonal polynomials are discussed.
