If Vn and Yn are monic polynomials of degree n with Vn(0) ≠ 0 and Yn(0) ≠ 0 such that $\left\{ {{V_n}\left( z \right),{z^{ - n - 1}}{Y_n}\left( z \right)} \right\}_{n = 0}^\infty $ is a biorthogonal ...

How complex is a given multivariate polynomial? The main point of this survey is that one can learn a great deal about the structure and complexity of polynomials by studying (some of) their partial ...

Transactions of the American Mathematical Society, Vol. 347, No. 6 (Jun., 1995), pp. 2161-2167 (7 pages) Let Sn be the collection of all algebraic polynomials of degree ≤ n with nonnegative ...

Abstract: We investigate the properties of the entropy of a probability measure along the heat flow and more precisely we seek for closed algebraic representations of its derivatives. Provided that ...