In this paper, necessary and sufficient conditions are given so that multivariate orthogonal polynomials can be generated by a recurrence formula. As a consequence, orthogonal polynomials of total ...

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 ...

Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

Multiple orthogonal polynomials (MOPs) extend the classical notion of orthogonality by satisfying simultaneous orthogonality conditions with respect to several weight functions or measures. This ...