University of South Alabama

output

19982025

most citedSearches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma

635 citations

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8 papers · 1 filter

math.CA2016

Nikishin systems on star-like sets: Ratio asymptotics of the associated multiple orthogonal polynomials

Abey López-García, Guillermo López Lagomasino

We investigate the ratio asymptotic behavior of the sequence $(Q_{n})_{n = 0}^{\infty}$ of multiple orthogonal polynomials associated with a Nikishin system of $p \geq 1$ measures tha…

math.CA2016★ 11 cited

Nikishin systems on star-like sets: algebraic properties and weak asymptotics of the associated multiple orthogonal polynomials

Abey López-García, Erwin Miña-Díaz

Polynomials $Q_{n} (z)$ , $n = 0, 1, \dots,$ that are multi-orthogonal with respect to a Nikishin system of $p \geq 1$ compactly supported measures over the star-like set of $p + 1$ rays $S_…

math.CA2015★ 3 cited

Certain Integrals Arising from Ramanujan's Notebooks

Bruce C. Berndt, Armin Straub

In his third notebook, Ramanujan claims that $\int_{0}^{\infty} \frac{cos ( n x )}{x ^{2} + 1} lo g x d x + \frac{π}{2} \int_{0}^{\infty} \frac{sin ( n x )}{x ^{2} + 1} d x = 0.$ In…

math.CA2015

Asymptotics of the energy of sections of greedy energy sequences on the unit circle, and some conjectures for general sequences

Abey López-García, Douglas A. Wagner

In this paper we investigate the asymptotic behavior of the Riesz $s$ -energy of the first $N$ points of a greedy $s$ -energy sequence on the unit circle, for all values of $s$ in th…

math.CA2014★ 15 cited

The normal matrix model with a monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star

Arno B. J. Kuijlaars, Abey López-García

We investigate the asymptotic behavior of a family of multiple orthogonal polynomials that is naturally linked with the normal matrix model with a monomial potential of arbitrary d…

math.CA2008

Ratios of Norms for Polynomials and Connected n-width Problems

V. A. Prokhorov, E. B. Saff, M. Yattselev

Let G be a bounded simply connected domain and E be a regular compact subset of G with connected complement. We investigate the asymptotic behavior of the Kolmogorov k-width, k=k(n…