On the class of dominant and subordinate products
Summary: In this paper we provide proofs of two new theorems that provide a broad class of partition inequalities and that illustrate a naïve version of \textit{G. E. Andrews}' anti-telescoping technique quite well [in: From Fourier analysis and number theory to Radon transforms and geometry. In Memory of Leon Ehrenpreis. Berlin: Springer. Developments in Mathematics 28, 1--20 (2013; Zbl 1318.11130)]. In addition, we prove (as a lemma to one of the theorems) a rather nontrivial class of rational functions of three variables has entirely nonnegative power series coefficients.
rational functions with nonnegative coefficients
scientific article; zbMATH DE number 6334776