14 citations · 16 across the 4 of their papers we have counts for
5 papers
Fast and accurate computation of classical Gaussian quadratures
A. Gil, J. Segura, N. M. Temme
Algorithms for computing the classical Gaussian quadrature rules (Gauss--Jacobi, Gauss--Laguerre, and Gauss--Hermite) are presented, based on globally convergent fourth-order itera…
McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions
Amparo Gil, Javier Segura, Nico M. Temme
We derive asymptotic expansions of the large zeros of the Coulomb wave functions and for those of their derivatives. The new expansions have the same form as the McMahon expansions…
Complete asymptotic expansions for the relativistic Fermi-Dirac integral
A. Gil, J. Segura, N. M. Temme
Fermi-Dirac integrals appear in problems in nuclear astrophysics, solid state physics or in the fundamental theory of semiconductor modeling, among others areas of application. In…
Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters
N. M. Temme, I. V. Toranzo, J. S. Dehesa
The determination of the physical entropies (Rényi, Shannon, Tsallis) of high-dimensional quantum systems subject to a central potential requires the knowledge of the asymptotics o…
Two-point Taylor Expansions of Analytic Functions
Jose L. Lopez, Nico M. Temme
Taylor expansions of analytic functions are considered with respect to two points. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions…