T. M. Dunster

activity

20162026

most citedUniform asymptotic expansions for the Whittaker functions

M_{κ, μ} (z)

and

W_{κ, μ} (z)

with

μ

large

1 citations · 1 across the 19 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CA2021★ 1 cited

Uniform asymptotic expansions for the Whittaker functions $M_{κ, μ} (z)$ and $W_{κ, μ} (z)$ with $μ$ large

T. M. Dunster

Uniform asymptotic expansions are derived for Whittaker's confluent hypergeometric functions $M_{κ, μ} (z)$ and $W_{κ, μ} (z)$ , as well as the numerically satisfactory companion functi…

math.CA2021

On the coefficients in an asymptotic expansion of $(1 + 1/ x)^{x}$

T. M. Dunster, Jessica M. Perez

The function $g (x) = (1 + 1/ x)^{x}$ has the well-known limit $e$ as $x \to \infty$ . The coefficients $c_{j}$ in an asymptotic expansion for $g (x)$ are considered. A simple rec…

math.CA2021

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…

math.CA2021

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 the Whittaker functions Mκ,μ​(z) and Wκ,μ​(z) with μ large

On the coefficients in an asymptotic expansion of (1+1/x)x

Uniform asymptotic expansions for Lommel, Anger-Weber and Struve functions

Nield-Kuznetsov functions and Laplace transforms of parabolic cylinder functions

Uniform asymptotic expansions for the Whittaker functions $M_{κ, μ} (z)$ and $W_{κ, μ} (z)$ with $μ$ large

On the coefficients in an asymptotic expansion of $(1 + 1/ x)^{x}$