151 citations · 327 across the 38 of their papers we have counts for
Showing 2020 · math.CAShow all
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math.CA2020
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…
math.CA2020★ 2 cited
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…
math.CA2020
Asymptotic computation of classical orthogonal polynomials
A. Gil, J. Segura, N. M. Temme
The classical orthogonal polynomials (Hermite, Laguerre and Jacobi) are involved in a vast number of applications in physics and engineering. When large degrees are needed, the…