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 ...

The discrete part of the discrete-continuous orthogonality B( f,g )= B d ( f,g )+ B c ( f ( N ) , g ( N ) ) , is studied for families of classical orthogonal polynomials such that the associated three ...

This is a preview. Log in through your library . Abstract In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a ...