J. Brauchart

activity

20072026

most citedDistributing many points on spheres: minimal energy and designs

109 citations · 567 across the 25 of their papers we have counts for

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Showing 2021Show all

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math-ph2021

Complete minimal logarithmic energy asymptotics for points in a compact interval: a consequence of the discriminant of Jacobi polynomials

Johann S. Brauchart

The electrostatic interpretation of zeros of Jacobi polynomials, due to Stieltjes and Schur, enables us to obtain the complete asymptotic expansion as $n \to \infty$ of the minimal…

math.CA2021

Weighted $L^{2}$ -Norms of Gegenbauer polynomials

Johann S. Brauchart, Peter J. Grabner

We study integrals of the form \begin{equation*} \int_{-1}^1(C_n^{(λ)}(x))^2(1-x)^α(1+x)^β\, dx, \end{equation*} where $C_{n}^{(λ)}$ denotes the Gegenbauer-polynomial of index $λ > 0$ …

Complete minimal logarithmic energy asymptotics for points in a compact interval: a consequence of the discriminant of Jacobi polynomials

Weighted L2-Norms of Gegenbauer polynomials

Weighted $L^{2}$ -Norms of Gegenbauer polynomials