24 citations · 47 across the 18 of their papers we have counts for
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Rodrigues' descendants of a polynomial and Boutroux curves
Rikard Bøgvad, Christian Hägg, Boris Shapiro
Motivated by the classical Rodrigues' formula, we study the root asymptotic of the polynomial sequence where ${P(…
Generalizing Tran's Conjecture
Rikard Bögvad, Innocent Ndikubwayo, Boris Shapiro
A conjecture of Khang Tran [6] claims that for an arbitrary pair of polynomials and , every zero of every polynomial in the sequence satisfyi…
A refinement of Pólya's method to construct Voronoi diagrams for rational functions
Rikard Bögvad, Christian Hägg
Given a complex polynomial with zeroes , we show that the asymptotic zero-counting measure of the iterated derivatives , where …
Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions
Julius Borcea, Rikard Bøgvad, Boris Shapiro
Consider a homogenized spectral pencil of exactly solvable linear differential operators $T_{\la}=\sum_{i=0}^k Q_{i}(z)\la^{k-i}\frac {d^i}{dz^i}$, where each is a polyn…
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…