J. Borcea

activity

20022008

most citedOn rational approximation of algebraic functions

24 citations · 47 across the 11 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.SP2006

Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products

Julius Borcea, Petter Brändén

For $n \times n$ matrices $A$ and $B$ define $η (A, B) = S \sum det (A [S]) det (B [S^{'}]),$ where the summation is over all subsets of ${1, ..., n}$ , $S^{'}$ is the complement of $S$ , and…

math.CV2006

Maximal and linearly inextensible polynomials

Julius Borcea

Let S(n,0) be the set of monic complex polynomials of degree $n \geq 2$ having all their zeros in the closed unit disk and vanishing at 0. For $p \in S (n, 0)$ denote by $∣ p ∣_{0}$ the d…

math.CV2006

Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations

Julius Borcea

A notion of weighted multivariate majorization is defined as a preorder on sequences of vectors in Euclidean space induced by the Choquet ordering for atomic probability measures.…