51 citations · 254 across the 54 of their papers we have counts for
4 papers · 1 filter
Numerical and Asymptotic Aspects of Parabolic Cylinder Functions
Nico M. Temme
Several uniform asymptotics expansions of the Weber parabolic cylinder functions are considered, one group in terms of elementary functions, another group in terms of Airy function…
On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions
Amparo Gil, Javier Segura, Nico M. Temme
Integral representations are considered of solutions of the inhomogeneous Airy differential equation . The solutions of these equations are also known as Scorer fun…
The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis
Nico M. Temme, Jose L. Lopez
Many limits are known for hypergeometric orthogonal polynomials that occur in the Askey scheme. We show how asymptotic representations can be derived by using the generating functi…
Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions
Raimundas Vidunas, Nico M. Temme
Computer algebra algorithms are developed for evaluating the coefficients in Airy-type asymptotic expansions that are obtained from integrals with a large parameter. The coefficien…