University of Almería

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20032009

most citedActive and Nonlinear Microrheology in Dense Colloidal Suspensions

134 citations

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7 papers · 1 filter

math.CA2009★ 1 cited

On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials

A. Foulquie Moreno, A. Martinez-Finkelshtein, V. L. Sousa

In 1995 Magnus posed a conjecture about the asymptotics of the recurrence coefficients of orthogonal polynomials with respect to the weights on [-1,1] of the form $$ (1-x)^α(1+x)^β…

math.CA2009

Asymptotics of orthogonal polynomials for a weight with a jump on [-1,1]

A. Foulquie Moreno, A. Martinez-Finkelshtein, V. L. Sousa

We consider the orthogonal polynomials on $[- 1, 1]$ with respect to the weight $w_{c} (x) = h (x) (1 - x)^{α} (1 + x)^{β} Ξ_{c} (x), α, β > - 1,$ where $h$ is real analytic and strictly posit…

math.CA2007

Discrete entropies of orthogonal polynomials

A. I. Aptekarev, J. S. Dehesa, A. Martinez-Finkelshtein +1

Let $p_{n}$ be the $n$ -th orthonormal polynomial on the real line, whose zeros are $λ_{j}^{(n)}$ , $j = 1, ..., n$ . Then for each $j = 1, ..., n$ , $$ \vec Ψ_j^2 = (Ψ_{1j}^2, ..., Ψ_{nj}^2)…

math.CA2005

On Extensions of a Theorem of Baxter

J. S. Geronimo, A. Martinez-Finkelshtein

We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This is acc…

math.CA2005

Shannon entropy of symmetric Pollaczek polynomials

A. Martinez-Finkelshtein, J. F. Sanchez-Lara

We discuss the asymptotic behavior (as $n \to \infty$ ) of the entropic integrals $E_{n} = - \int_{- 1}^{1} lo g (p_{n}^{2} (x)) p_{n}^{2} (x) w (x) d x,$ and $$ F_n = -\int_{-1}^1 \log…

math.CA2004

Riemann-Hilbert analysis for Jacobi polynomials orthogonal on a single contour

A. Martinez-Finkelshtein, R. Orive

Classical Jacobi polynomials $P_{n}^{(α, β)}$ , with $α, β > - 1$ , have a number of well-known properties, in particular the location of their zeros in the open interval $(- 1, 1)$ . This…