We derive the distribution and three-term recurrence relation for the Koornwinder [2] polynomials with weight function shown above using the method developed in our paper [3]. We are able to obtainâ€¦ (More)

Certain processes in analysis, e. g., the computation of Laplace-Stieltjes moment integrals, lead to difference equations of infinite order. In this paper, we seek to apply an analog of the famousâ€¦ (More)

In this paper we investigate Hankel determinants of the form $$\left| {c_{i + j} (t)} \right|_{ij = 0,...,n} $$ , where c n (t) is one of a number of polynomials of combinatorial interest. We showâ€¦ (More)

In this paper we explore the relationship between the coefficients in the expansion of a function f(x) in orthogonal polynomials and the coefficients for the expansion of (1-x) m f(x), withâ€¦ (More)

Clavaminate synthase is an Fe(2+)-, O2-, and alpha-ketoglutarate-dependent oxygenase that catalyzes three transformations in the biosynthesis of the important beta-lactamase inhibitor clavulanicâ€¦ (More)

Let s be a random set partition of [n] and Xn(Ïƒ) be the random variable marking the total number of blocks in Ïƒ. By employing a uniform probability on the sample space of random set partitions ofâ€¦ (More)