T. M. Dunster

activity

20142026

most citedFundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature

14 citations · 20 across the 31 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.NA2022

Computation of parabolic cylinder functions having complex argument

T. M. Dunster, A. Gil, J. Segura

Numerical methods for the computation of the parabolic cylinder $U (a, z)$ for real $a$ and complex $z$ are presented. The main tools are recent asymptotic expansions involving expon…

math.CA2022

Uniform asymptotic expansions for Gegenbauer polynomials and related functions via differential equations having a simple pole

T. M. Dunster

Asymptotic expansions are derived for Gegenbauer (ultraspherical) polynomials for large order $n$ that are uniformly valid for unbounded complex values of the argument $z$ , includi…