1 citations · 1 across the 5 of their papers we have counts for
12 papers
Computation of parabolic cylinder functions having complex argument
T. M. Dunster, A. Gil, J. Segura
Numerical methods for the computation of the parabolic cylinder for real and complex are presented. The main tools are recent asymptotic expansions involving expon…
Uniform asymptotic expansions for the Whittaker functions and with large
T. M. Dunster
Uniform asymptotic expansions are derived for Whittaker's confluent hypergeometric functions and , as well as the numerically satisfactory companion functi…
On the coefficients in an asymptotic expansion of
T. M. Dunster, Jessica M. Perez
The function has the well-known limit as . The coefficients in an asymptotic expansion for are considered. A simple rec…
Uniform asymptotic expansions for Lommel, Anger-Weber and Struve functions
T. M. Dunster
Using a differential equation approach asymptotic expansions are rigorously obtained for Lommel, Weber, Anger-Weber and Struve functions, as well as Neumann polynomials, each of wh…
Nield-Kuznetsov functions and Laplace transforms of parabolic cylinder functions
T. M. Dunster
Nield-Kuznetsov functions of the first kind are studied, which are solutions of an inhomogeneous parabolic Weber equation, and have applications in fluid flow problems. Connection…
Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations
T. M. Dunster
Asymptotic expansions are derived for solutions of the parabolic cylinder and Weber differential equations. In addition the inhomogeneous versions of the equations are considered,…