We describe a fast method for the evaluation of an arbitrary high-dimensional multivariate algebraic polynomial in Chebyshev form at the nodes of an arbitrary rank-1 Chebyshev lattice. Our main focus ...

Hersh recently showed that the Faulhaber polynomials, related to sums of consecutive powers, can be expressed as even or odd polynomials in the variable offset by one-half. In this article, we use ...

Discover how the reduction to Smith form of polynomial matrices is computed, with two algorithms presented using a constructive Quillen-Suslin Theorem implementation. Simplify linear systems of ...

William Johnston, The Weighted Hermite Polynomials Form a Basis for L2 (ℝ), The American Mathematical Monthly, Vol. 121, No. 3 (March 2014), pp. 249-253 ...

We derive a simple expression for the functions encountered in electromagnetic form factor calculations done with infinite‐component fields. Our expression holds for the general case of SL (n, C). We ...