151 citations · 327 across the 38 of their papers we have counts for
38 papers
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…
New asymptotic representations of the noncentral -distribution
Amparo Gil, Javier Segura, Nico M Temme
New asymptotic approximations of the non-central distribution are given, a generalization of the Student's distribution. Using new integral representations, we give new asy…
A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation
M. Horák, A. J. Gil, R. Ortigosa +1
The fabrication of evermore sophisticated miniaturised soft robotic components made up of Electro-Active Polymers (EAPs) is constantly demanding parallel development from the in-si…
A new asymptotic representation and inversion method for the Student's t distribution
Amparo Gil, Javier Segura, Nico M. Temme
Some special functions are particularly relevant in applied probability and statistics. For example, the incomplete beta function is the cumulative central beta distribution. In th…
Fast and reliable high accuracy computation of Gauss--Jacobi quadrature
A. Gil, J. Segura, N. M. Temme
Iterative methods with certified convergence for the computation of Gauss--Jacobi quadratures are described. The methods do not require a priori estimations of the nodes to guarant…
Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions
Amparo Gil, Javier Segura, Nico M. Temme
Asymptotic approximations of Jacobi polynomials are given in terms of elementary functions for large degree and parameters and . From these new results, asymptotic expan…