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 polynomial-solutions of the self-adjoint differential equations $D\left[ {\exp \left( { - x_1^{2k}} \right)Dy} \right] + \lambda {x^{2k - 2}}\exp \left( { - {x ...

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...