24 citations · 27 across the 4 of their papers we have counts for
4 papers
On rational approximation of algebraic functions
Julius Borcea, Rikard Bögvad, Boris Shapiro
We construct a new scheme of approximation of any multivalued algebraic function by a sequence of rational functions. The latter sequence is…
Classifying real polynomial pencils
Julius Borcea, Boris Shapiro
Let $\bP^n$ be the space of all homogeneous polynomials of degree in two variables with real coefficients. The standard discriminant $\D_{n+1}\subset \bP^n$ is Whitney stratifi…
Hyperbolic polynomials and spectral order
Julius Borcea, Boris Shapiro
The spectral order on $\bR$ induces a partial ordering on the manifold $\calH_{n}$ of monic hyperbolic polynomials of degree . We show that the semigroup $\tilde{\calS}$ generat…
Dualities and vertex operator algebras of affine type
Julius Borcea
We notice that for any positive integer , the set of -specialized characters of level standard -modules is the same as the set of rescaled graded dimensi…