Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...

Orthogonal polynomials have long played a pivotal role in quantum mechanics, offering a robust analytic framework to address exactly solvable models. Their applications range from providing explicit ...

Transactions of the American Mathematical Society, Vol. 341, No. 2 (Feb., 1994), pp. 749-770 (22 pages) The close relationship between orthogonal polynomial sequences and polynomial hypergroups is ...

This is a preview. Log in through your library . Abstract The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state ...

We discuss the application of orthogonal polynomials to the estimation of probability density functions, particularly with regard to accessing features of a portfolio's profit/loss distribution. Such ...