T. M. Dunster

Bessel Functions of Purely Imaginary Order, with an Application to Second-Order Linear Differential Equations Having a Large Parameter

T. M. Dunster · SIAM Journal on Mathematical Analysis · 1990 · 150 citations

Numerical Analysis, Bessel Functions, Imaginary Order +7

Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions

W. G. C. Boyd, T. M. Dunster · SIAM Journal on Mathematical Analysis · 1986 · 33 citations

Numerical Analysis, Uniform Asymptotic Solutions, Elliptic Equation +11

Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions

T. M. Dunster · SIAM Journal on Mathematical Analysis · 1989 · 32 citations

Spectral Theory, Numerical Analysis, Asymptotic Behavior +10

Uniform Asymptotic Expansions for Charlier Polynomials

T. M. Dunster · Journal of Approximation Theory · 2001 · 24 citations

Spectral Theory, Engineering, Uniform Asymptotic Expansions +4

Convergent Liouville–Green expansions for second-order linear differential equations, with an application to Bessel functions

T. M. Dunster, Donald A. Lutz, Reinhard Schäfke · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · 1993 · 24 citations