T. M. Dunster

发表

Sharp error bounds for turning point expansions

A. Gil, J. Segura, T. M. Dunster, 2021, Journal of Classical Analysis.

Nield-Kuznetsov Functions and Laplace Transforms of Parabolic Cylinder Functions

T. M. Dunster, 2021, SIAM J. Math. Anal..

Computation of the reverse generalized Bessel polynomials and their zeros

Amparo Gil, Javier Segura, Diego Ruiz-Antolín, 2021, Comput. Math. Methods.

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

T. M. Dunster, Jessica M. Perez, 2021 .

Uniform asymptotic expansions for prolate spheriodal functions with large parameters

T. M. Dunster, 1986 .

Asymptotics of Prolate Spheroidal Wave Functions

T. M. Dunster, 2016, 1601.00699.

Uniform asymptotic solutions of a class of second order linear differential equations having a turning point and a regular singularity, with an application to Lengendre functions

T. M. Dunster, W. Boyd, 1986 .

Simplified Asymptotic Solutions of Differential Equations Having Two Turning Points, with an Application to Legendre Functions

T. M. Dunster, 2011 .

Computation of Asymptotic Expansions of Turning Point Problems via Cauchy’s Integral Formula: Bessel Functions

A. Gil, J. Segura, T. M. Dunster, 2016 .

Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature.

Howard S. Cohl, T. M. Dunster, H. Cohl, 2018, Symmetry, integrability and geometry, methods and applications : SIGMA.

Bessel functions of purely imaginary order, with an application to second-order linear differential equations having a large parameter

T. M. Dunster, 1990 .

UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE WHITTAKER FUNCTIONS Mκ,iμ(z) AND Wκ,iμ(z)

T. M. Dunster, 2003 .

Error bounds for exponentially improved asymptotic solutions of ordinary differential equations having irregular singularities of rank one

T. M. Dunster, 1996 .

Uniform asymptotic expansions for solutions of the parabolic cylinder and Weber equations

T. M. Dunster, 2020, 2010.05428.

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

T. M. Dunster, 2022, 2209.10716.

On the Order Derivatives of Bessel Functions

T. M. Dunster, 2016, Constructive Approximation.

Uniform asymptotic solutions of second-order linear differential equations having a simple pole and a coalescing turning point in the complex plane

T. M. Dunster, 1994 .

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

T. M. Dunster, D. Lutz, R. Schäfke, 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

Asymptotic solutions of second-order linear differential equations having almost coalescent turning points, with an application to the incomplete gamma function

T. M. Dunster, 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Uniform asymptotic solutions of second-order linear differential equations having a double pole with complex exponent and coalescing turning point

T. M. Dunster, 1990 .

Olver's error bound methods applied to linear ordinary differential equations having a simple turning point

T. M. Dunster, 2014 .

Uniform asymptotic expansions for the Whittaker functions Mκ,μ(z) and Wκ,μ(z) with μ large

T. M. Dunster, 2021, Proceedings of the Royal Society A.

Liouville-Green expansions of exponential form, with an application to modified Bessel functions

T. M. Dunster, 2017, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Asymptotic approximations for the Jacobi and ultraspherical polynomials, and related functions

T. M. Dunster, 1999 .

Uniform asymptotic approximation of Mathieu functions

T. M. Dunster, 1994 .

Conical functions of purely imaginary order and argument

T. M. Dunster, 2013, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Uniform asymptotic expansions for associated Legendre functions of large order

T. M. Dunster, 2003, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Conical functions with one or both parameters large

T. M. Dunster, 1991, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Uniform asymptotic expansions for Whittaker's confluent hypergeometric functions

T. Mark Dunster, T. M. Dunster, 1989 .

Asymptotic solutions of inhomogeneous differential equations having a turning point

T. M. Dunster, 2020, Studies in Applied Mathematics.

Simplified error bounds for turning point expansions

T. M. Dunster, J. Segura, A. Gil, 2019, Analysis and Applications.

Asymptotics of the eigenvalues of the rotating harmonic oscillator

T. M. Dunster, 1998 .

RESONANCE AND THE LATE COEFFICIENTS IN THE SCATTERED FIELD OF A DIELECTRIC CIRCULAR CYLINDER

T. M. Dunster, M. Yedlin, K. Lam, 2006 .

Convergent Expansions for Solutions of Linear Ordinary Differential Equations Having a Simple Pole, with an Application to Associated Legendre Functions

T. M. Dunster, 2004 .

On the Order Derivatives of Bessel Functions

T. M. Dunster, 2015, 1502.05971.

Uniform asymptotic approximations for incomplete Riemann Zeta functions

T. M. Dunster, 2006 .

On the high-order coefficients in the uniform asymptotic expansion for the incomplete gamma function

T. M. Dunster, R. Paris, S. Cang, 1998 .

Uniform Asymptotic Expansions for the Reverse Generalized Bessel Polynomials, and Related Functions

T. Mark Dunster, T. M. Dunster, 2001, SIAM J. Math. Anal..